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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Associative Rings and Algebras. Papers on this page are organised in collections from 16- through 16Z, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

16-xx: Associative rings and algebras 16Bxx: General and miscellaneous 16Dxx: Modules, bimodules and ideals 16Exx: Homological methods 16Gxx: Representation theory of rings and algebras 16Hxx: Algebras and orders 16Kxx: Division rings and semisimple Artin rings 16Lxx: Local rings and generalizations 16Nxx: Radicals and radical properties of rings 16Pxx: Chain conditions, growth conditions, and other forms of finiteness 16Rxx: Rings with polynomial identity 16Sxx: Rings and algebras arising under various constructions 16Txx: Hopf algebras, quantum groups and related topics 16Uxx: Conditions on elements 16Wxx: Rings and algebras with additional structure 16Yxx: Generalizations 16Zxx: Computational aspects of associative rings

Associative rings and algebras (16-XX)

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General and miscellaneous (16Bxx)

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Article
Corrigendum: “On the representability of actions of Leibniz algebras and Poisson algebras”
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
WHEN IS THE SILTING-DISCRETENESS INHERITED?
TAKUMA AIHARA, TAKAHIRO HONMA
Nagoya Mathematical Journal, Volume 256

Article
On the representability of actions of Leibniz algebras and Poisson algebras
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 4

Article
CELLULAR CATEGORIES AND STABLE INDEPENDENCE
MICHAEL LIEBERMAN, JIŘÍ ROSICKÝ, SEBASTIEN VASEY
The Journal of Symbolic Logic, Volume 88, Issue 2

Article
BOHR COMPACTIFICATIONS OF GROUPS AND RINGS
JAKUB GISMATULLIN, GRZEGORZ JAGIELLA, KRZYSZTOF KRUPIŃSKI
The Journal of Symbolic Logic, Volume 88, Issue 3

Article
HYPERSURFACE SUPPORT FOR NONCOMMUTATIVE COMPLETE INTERSECTIONS
CRIS NEGRON, JULIA PEVTSOVA
Nagoya Mathematical Journal, Volume 247

Article
Ring-theoretic (In)finiteness in reduced products of Banach algebras
Matthew Daws, Bence Horváth
Canadian Journal of Mathematics, Volume 73, Issue 5

Article
THE $G$-CENTRE AND GRADABLE DERIVED EQUIVALENCES
KEVIN COULEMBIER, VOLODYMYR MAZORCHUK
Journal of the Australian Mathematical Society, Volume 105, Issue 3

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Modules, bimodules and ideals (16Dxx)

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Article
Silting, cosilting and extensions of commutative rings
SIMION BREAZ, MICHAL HRBEK, GEORGE CIPRIAN MODOI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Property (◇) for Ore extensions of small Krull dimension
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
Noetherianity of twisted Zhu’s algebras and bimodules
Jianqi Liu
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Drinfeld centers and Morita equivalence classes of fusion 2-categories
Thibault D. Décoppet
Compositio Mathematica, Volume 161, Issue 2

Article
Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture
Ziba Fazelpour, Alireza Nasr-Isfahani
Canadian Journal of Mathematics, First View

Article
Enlargements and Morita contexts for rings with involution
Valdis Laan, Kristo Väljako
Glasgow Mathematical Journal, Volume 67, Issue 2

Article
Laurent family of simple modules over quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park
Compositio Mathematica, Volume 160, Issue 8

Article
Skew group categories, algebras associated to Cartan matrices and folding of root lattices
Xiao-Wu Chen, Ren Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 6

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Homological methods (16Exx)

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Article
Intersection Theorem for DG-modules over non-positive DG-rings
Xiaoyan Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Reflexive homology and involutive Hochschild homology as equivariant Loday constructions
Ayelet Lindenstrauss, Birgit Richter
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Silting, cosilting and extensions of commutative rings
SIMION BREAZ, MICHAL HRBEK, GEORGE CIPRIAN MODOI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Operator realizations of non-commutative analytic functions
Méric L. Augat, Robert T. W. Martin, Eli Shamovich
Forum of Mathematics, Sigma, Volume 13

Article
G-dimensions for DG-modules over commutative DG-rings
Jiangsheng Hu, Xiaoyan Yang, Rongmin Zhu
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors
Leonid Positselski
Glasgow Mathematical Journal, First View

Article
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz, Josh Pollitz
Forum of Mathematics, Sigma, Volume 13

Article
Tate duality and transfer for symmetric algebras over complete discrete valuation rings
Markus Linckelmann
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

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Representation theory of rings and algebras (16Gxx)

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Article
Three perspectives on categorical symmetric Howe duality
Ben Webster
Canadian Journal of Mathematics, First View

Article
Lattices over finite group schemes and stratification
Tobias Barthel, Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova
Compositio Mathematica, Volume 161, Issue 11

Article
Moduli of objects in finite length abelian categories
Andres Fernandez Herrero, Emmett Lennen, Svetlana Makarova
Moduli, Volume 2

Article
Mutation graph of support $\tau $-tilting modules over a skew-gentle algebra
Ping He, Yu Zhou, Bin Zhu
Forum of Mathematics, Sigma, Volume 13

Article
Consistent dimer models on surfaces with boundary
Jonah Berggren, Khrystyna Serhiyenko
Forum of Mathematics, Sigma, Volume 13

Article
FISHING FOR COMPLEMENTS
LIDIA ANGELERI HÜGEL, DAVID PAUKSZTELLO, JORGE VITÓRIA
Nagoya Mathematical Journal, Volume 261

Article
Homological Berglund–Hübsch–Henningson mirror symmetry for curve singularities
MATTHEW HABERMANN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 3

Article
Vector fields and admissible embeddings for quiver moduli
Pieter Belmans, Ana-Maria Brecan, Hans Franzen, Markus Reineke
Moduli, Volume 2

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Algebras and orders (16Hxx)

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Division rings and semisimple Artin rings (16Kxx)

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Article
Signature maps from positive cones on algebras with involution
Vincent Astier, Thomas Unger
Canadian Journal of Mathematics, First View

Article
Non-formality of Galois cohomology modulo all primes
Alexander Merkurjev, Federico Scavia
Compositio Mathematica, Volume 161, Issue 4

Article
Products of commutators in matrix rings
Matej Brešar, Eusebio Gardella, Hannes Thiel
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
LOCALLY NILPOTENT SUBGROUPS OF $\mathrm {GL}_n(D)$
R. FALLAH-MOGHADDAM, H. R. DORBIDI
Bulletin of the Australian Mathematical Society, Volume 112, Issue 1

Article
A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS
LE QUI DANH, TRINH THANH DEO
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
Hilbert’s 17th problem in free skew fields
Jurij Volčič
Forum of Mathematics, Sigma, Volume 9

Article
Brauer groups and Galois cohomology of commutative ring spectra
David Gepner, Tyler Lawson
Compositio Mathematica, Volume 157, Issue 6

Article
FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS
ADAM CHAPMAN, SOLOMON VISHKAUTSAN
Bulletin of the Australian Mathematical Society, Volume 104, Issue 2

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Local rings and generalizations (16Lxx)

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Article
Local Normal Forms of Noncommutative Functions
Gavin Brown, Michael Wemyss
Forum of Mathematics, Pi, Volume 13

Article
A multiplicative dual of nil-clean rings
Yiqiang Zhou
Canadian Mathematical Bulletin, Volume 65, Issue 1

Article
On Annelidan, Distributive, and Bézout Rings
Greg Marks, Ryszard Mazurek
Canadian Journal of Mathematics, Volume 72, Issue 4

Article
On a Theorem of Burgess and Stephenson
W. K. Nicholson
Canadian Mathematical Bulletin, Volume 62, Issue 3

Article
A LOCALISABLE CLASS OF PRIMITIVE IDEALS OF UNIFORM NILPOTENT IWASAWA ALGEBRAS
JONATHAN NELSON
Glasgow Mathematical Journal, Volume 58, Issue 1

Article
On Semi-Primary Self-Injective Rings and Faith's Quasi-Frobenius Conjecture
M. C. Iovanov
Proceedings of the Edinburgh Mathematical Society, Volume 58, Issue 1

Article
ON CLEAN LAURENT SERIES RINGS
YIQIANG ZHOU, MICHAŁ ZIEMBOWSKI
Journal of the Australian Mathematical Society, Volume 95, Issue 3

Article
DIRECT SUMS OF INFINITELY MANY KERNELS
ŞULE ECEVIT, ALBERTO FACCHINI, M. TAMER KOŞAN
Journal of the Australian Mathematical Society, Volume 89, Issue 2

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Radicals and radical properties of rings (16Nxx)

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Article
On rings which are sums of subrings
Ryszard R. Andruszkiewicz, Marek Kȩpczyk
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
The Quantitative Kurosh Problem
Be’eri Greenfeld
Forum of Mathematics, Sigma, Volume 13

Article
From actions of an abelian group on itself to left braces
A. BALLESTER–BOLINCHES, R. ESTEBAN–ROMERO, L. A. KURDACHENKO, V. PÉREZ–CALABUIG
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 1

Article
A note on right-nil and strong-nil skew braces
A Ballester-Bolinches, M Ferrara, V Pérez-Calabuig, M Trombetti
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
RADICALS AND IDEMPOTENTS III: q-CENTRAL IDEMPOTENTS
E. P. COJUHARI, B. J. GARDNER
Bulletin of the Australian Mathematical Society, Volume 111, Issue 2

Article
THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS
DAVID DOLŽAN
Bulletin of the Australian Mathematical Society, Volume 106, Issue 1

Article
TRIPLET INVARIANCE AND PARALLEL SUMS
TSIU-KWEN LEE, JHENG-HUEI LIN, TRUONG CONG QUYNH
Bulletin of the Australian Mathematical Society, Volume 104, Issue 1

Article
FURTHER REMARKS ON ELEMENTARY RADICALS AND ASSOCIATED FILTERS OF IDEALS
E. P. COJUHARI, B. J. GARDNER
Bulletin of the Australian Mathematical Society, Volume 103, Issue 3

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Chain conditions, growth conditions, and other forms of finiteness (16Pxx)

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Article
Property (◇) for Ore extensions of small Krull dimension
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
The Quantitative Kurosh Problem
Be’eri Greenfeld
Forum of Mathematics, Sigma, Volume 13

Article
Noetherianity of twisted Zhu’s algebras and bimodules
Jianqi Liu
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Finite domination and Novikov homology over strongly $\mathbb {Z}^2$-graded rings
Thomas Hüttemann, Luke Steers
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 6

Article
A characterisation of atomicity
SALVATORE TRINGALI
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 175, Issue 2

Article
The finite dual of commutative-by-finite Hopf algebras
K. A. Brown, M. Couto, A. Jahn
Glasgow Mathematical Journal, Volume 65, Issue 1

Article
THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS
DAVID DOLŽAN
Bulletin of the Australian Mathematical Society, Volume 106, Issue 1

Article
SOME STABLE NON-ELEMENTARY CLASSES OF MODULES
MARCOS MAZARI-ARMIDA
The Journal of Symbolic Logic, Volume 88, Issue 1

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Rings with polynomial identity (16Rxx)

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Article
On the central exponent of superalgebras with superinvolution
Ginevra Giordani, Antonio Ioppolo, Antônio dos Santos, Ana Vieira
Canadian Mathematical Bulletin, First View

Article
On rings which are sums of subrings
Ryszard R. Andruszkiewicz, Marek Kȩpczyk
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
The Waring problem for upper triangular matrix algebras
Qian Chen, Yu Wang
Canadian Journal of Mathematics, Volume 77, Issue 4

Article
Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms
Ángel Chávez, Stephan Ramon Garcia, Jackson Hurley
Canadian Mathematical Bulletin, Volume 67, Issue 2

Article
Norms on complex matrices induced by random vectors
Ángel Chávez, Stephan Ramon Garcia, Jackson Hurley
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
Images of multilinear graded polynomials on upper triangular matrix algebras
Pedro Fagundes, Plamen Koshlukov
Canadian Journal of Mathematics, Volume 75, Issue 5

Article
WHEN IS A COMPLETION OF THE UNIVERSAL ENVELOPING ALGEBRA A BANACH PI-ALGEBRA?
O. YU. ARISTOV
Bulletin of the Australian Mathematical Society, Volume 107, Issue 3

Article
Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action
Lucio Centrone, Alejandro Estrada
Canadian Mathematical Bulletin, Volume 66, Issue 1

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Rings and algebras arising under various constructions (16Sxx)

Article
Partial Hopf actions on generalized matrix algebras
Dirceu Bagio, Eliezer Batista, Hector Pinedo
Glasgow Mathematical Journal, First View

Article
Rational Delsarte designs and Galois fusions of association schemes
Jesse Lansdown, William J. Martin
Canadian Mathematical Bulletin, First View

Article
Heaps of modules: categorical aspects
Simion Breaz, Tomasz Brzeziński, Bernard Rybołowicz, Paolo Saracco
Forum of Mathematics, Sigma, Volume 13

Article
On integral decomposition of unipotent elements in integral group rings
Leo Margolis, Geoffrey Janssens
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Property (◇) for Ore extensions of small Krull dimension
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz, Josh Pollitz
Forum of Mathematics, Sigma, Volume 13

Article
Local Normal Forms of Noncommutative Functions
Gavin Brown, Michael Wemyss
Forum of Mathematics, Pi, Volume 13

Article
AN UPPER BOUND ON THE LENGTH OF AN ALGEBRA AND ITS APPLICATION TO THE GROUP ALGEBRA OF THE DIHEDRAL GROUP
M. A. KHRYSTIK
Bulletin of the Australian Mathematical Society, Volume 112, Issue 1

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Hopf algebras, quantum groups and related topics (16Txx)

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Article
Partial Hopf actions on generalized matrix algebras
Dirceu Bagio, Eliezer Batista, Hector Pinedo
Glasgow Mathematical Journal, First View

Article
Moduli of objects in finite length abelian categories
Andres Fernandez Herrero, Emmett Lennen, Svetlana Makarova
Moduli, Volume 2

Article
The algebraic structure of Dyson–Schwinger equations with multiple insertion places
Nicholas Olson-Harris, Karen Yeats
Canadian Mathematical Communications, Volume 1

Article
FROBENIUS-PERRON DIMENSIONS OF CONJUGACY CLASSES AND AN ITO-MICHLER-TYPE RESULT IN MODULAR FUSION CATEGORIES
Sebastian Burciu
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 6

Article
Colored interacting particle systems on the ring: Stationary measures from Yang–Baxter equations
Amol Aggarwal, Matthew Nicoletti, Leonid Petrov
Compositio Mathematica, Volume 161, Issue 8

Article
Reflective centers of module categories and quantum K-matrices
Robert Laugwitz, Chelsea Walton, Milen Yakimov
Forum of Mathematics, Sigma, Volume 13

Article
Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors
Leonid Positselski
Glasgow Mathematical Journal, First View

Article
Matched pairs and Yetter–Drinfeld braces
Davide Ferri, Andrea Sciandra
Canadian Journal of Mathematics, First View

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Conditions on elements (16Uxx)

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Article
On integral decomposition of unipotent elements in integral group rings
Leo Margolis, Geoffrey Janssens
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A CHARACTERISATION OF MATRIX RINGS
DIMPLE RANI GOYAL, DINESH KHURANA
Bulletin of the Australian Mathematical Society, Volume 107, Issue 1

Article
THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS
DAVID DOLŽAN
Bulletin of the Australian Mathematical Society, Volume 106, Issue 1

Article
A NOTE ON GROUP RINGS WITH TRIVIAL UNITS
A. Y. M. CHIN
Bulletin of the Australian Mathematical Society, Volume 105, Issue 2

Article
A multiplicative dual of nil-clean rings
Yiqiang Zhou
Canadian Mathematical Bulletin, Volume 65, Issue 1

Article
COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS
GIL ALON, ELAD PARAN
Glasgow Mathematical Journal, Volume 64, Issue 1

Article
UNIFORM DEFINABILITY OF INTEGERS IN REDUCED INDECOMPOSABLE POLYNOMIAL RINGS
MARCO BARONE, NICOLÁS CARO, EUDES NAZIAZENO
The Journal of Symbolic Logic, Volume 85, Issue 4

Article
ANNIHILATOR-STABILITY AND TWO QUESTIONS OF NICHOLSON
GUOLI XIA, YIQIANG ZHOU
Glasgow Mathematical Journal, Volume 63, Issue 2

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Rings and algebras with additional structure (16Wxx)

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Article
Signature maps from positive cones on algebras with involution
Vincent Astier, Thomas Unger
Canadian Journal of Mathematics, First View

Article
On the central exponent of superalgebras with superinvolution
Ginevra Giordani, Antonio Ioppolo, Antônio dos Santos, Ana Vieira
Canadian Mathematical Bulletin, First View

Article
Corrigendum: “On the representability of actions of Leibniz algebras and Poisson algebras”
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 4

Article
Topological Noetherianity of the infinite half-spin representations
Christopher Chiu, Jan Draisma, Rob Eggermont, Tim Seynnaeve, Nafie Tairi
Forum of Mathematics, Sigma, Volume 13

Article
Products of commutators in matrix rings
Matej Brešar, Eusebio Gardella, Hannes Thiel
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Enlargements and Morita contexts for rings with involution
Valdis Laan, Kristo Väljako
Glasgow Mathematical Journal, Volume 67, Issue 2

Article
Resolving dualities and applications to homological invariants
Hongxing Chen, Jiangsheng Hu
Canadian Journal of Mathematics, Volume 77, Issue 6

Article
QUASI-HEREDITARY SKEW GROUP ALGEBRAS
ANNA RODRIGUEZ RASMUSSEN
Nagoya Mathematical Journal, Volume 257

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Generalizations (16Yxx)

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Article
Heaps of modules: categorical aspects
Simion Breaz, Tomasz Brzeziński, Bernard Rybołowicz, Paolo Saracco
Forum of Mathematics, Sigma, Volume 13

Article
On the algebra of elliptic curves
Tomasz Brzeziński
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 2

Article
SEMIRING AND INVOLUTION IDENTITIES OF POWER GROUPS
SERGEY V. GUSEV, MIKHAIL V. VOLKOV
Journal of the Australian Mathematical Society, Volume 115, Issue 3

Article
THE GEOMETRY OF BLUEPRINTS PART II: TITS–WEYL MODELS OF ALGEBRAIC GROUPS
OLIVER LORSCHEID
Forum of Mathematics, Sigma, Volume 6

Article
INTERCHANGE RINGS
CHARLES C. EDMUNDS
Journal of the Australian Mathematical Society, Volume 101, Issue 3

Article
INCIDENCE SEMIRINGS OF GRAPHS AND VISIBLE BASES
J. ABAWAJY, A. V. KELAREV, M. MILLER, J. RYAN
Bulletin of the Australian Mathematical Society, Volume 89, Issue 3

Article
THE ZELEZNIKOW PROBLEM ON A CLASS OF ADDITIVELY IDEMPOTENT SEMIRINGS
YONG SHAO, SINIŠA CRVENKOVIĆ, MELANIJA MITROVIĆ
Journal of the Australian Mathematical Society, Volume 95, Issue 3

Article
OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS
D. Y. GAO, A. V. KELAREV, J. L. YEARWOOD
Bulletin of the Australian Mathematical Society, Volume 84, Issue 3

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Computational aspects of associative rings (16Zxx)

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Article
Leopoldt-type theorems for non-abelian extensions of $\mathbb{Q}$
Fabio Ferri
Glasgow Mathematical Journal, Volume 66, Issue 2

Article
Homological approximations in persistence theory
Benjamin Blanchette, Thomas Brüstle, Eric J. Hanson
Canadian Journal of Mathematics, Volume 76, Issue 1

Article
Computation of lattice isomorphisms and the integral matrix similarity problem
Werner Bley, Tommy Hofmann, Henri Johnston
Forum of Mathematics, Sigma, Volume 10

Article
Champ: a Cherednik algebra Magma package
U. Thiel
LMS Journal of Computation and Mathematics, Volume 18, Issue 1

Article
Constructing representations of Hecke algebras for complex reflection groups
Gunter Malle, Jean Michel
LMS Journal of Computation and Mathematics, Volume 13

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MSC 2010: Associative rings and algebras

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Associative rings and algebras (16-XX)

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General and miscellaneous (16Bxx)

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Modules, bimodules and ideals (16Dxx)

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Homological methods (16Exx)

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Representation theory of rings and algebras (16Gxx)

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Algebras and orders (16Hxx)

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Division rings and semisimple Artin rings (16Kxx)

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Local rings and generalizations (16Lxx)

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Radicals and radical properties of rings (16Nxx)

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Chain conditions, growth conditions, and other forms of finiteness (16Pxx)

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Rings with polynomial identity (16Rxx)

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Rings and algebras arising under various constructions (16Sxx)

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Hopf algebras, quantum groups and related topics (16Txx)

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Conditions on elements (16Uxx)

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Rings and algebras with additional structure (16Wxx)

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Generalizations (16Yxx)

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Computational aspects of associative rings (16Zxx)