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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Commutative Algebra. Papers on this page are organised in collections from 13- through 13P, 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

13-xx: Commutative algebra 13Axx: General commutative ring theory 13Bxx: Ring extensions and related topics 13Cxx: Theory of modules and ideals 13Dxx: Homological methods 13Exx: Chain conditions, finiteness conditions 13Fxx: Arithmetic rings and other special rings 13Gxx: Integral domains 13Hxx: Local rings and semilocal rings 13Jxx: Topological rings and modules 13Lxx: Applications of logic to commutative algebra 13Mxx: Finite commutative rings 13Nxx: Differential algebra 13Pxx: Computational aspects and applications

Commutative algebra (13-XX)

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General commutative ring theory (13Axx)

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Article
Global F-regularity for weak del Pezzo surfaces
Tatsuro Kawakami, Hiromu Tanaka
Forum of Mathematics, Sigma, Volume 13

Article
ON THE ASYMPTOTIC BEHAVIOR OF THE VASCONCELOS INVARIANT FOR GRADED MODULES
LUCA FIORINDO, DIPANKAR GHOSH
Nagoya Mathematical Journal, Volume 258

Article
A McKay Correspondence in Positive Characteristic
Christian Liedtke
Forum of Mathematics, Sigma, Volume 12

Article
A sub-functor for Ext and Cohen–Macaulay associated graded modules with bounded multiplicity-II
Ankit Mishra, Tony J. Puthenpurakal
Glasgow Mathematical Journal, Volume 67, Issue 1

Article
Derived functors and Hilbert polynomials over regular local rings
Tony J. Puthenpurakal
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 4

Article
The Hilbert series of the superspace coinvariant ring
Brendon Rhoades, Andrew Timothy Wilson
Forum of Mathematics, Pi, Volume 12

Article
A classification of automorphic Lie algebras on complex tori
Vincent Knibbeler, Sara Lombardo, Casper Oelen
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
ON THE SET OF BETTI ELEMENTS OF A PUISEUX MONOID
SCOTT T. CHAPMAN, JOSHUA JANG, JASON MAO, SKYLER MAO
Bulletin of the Australian Mathematical Society, Volume 111, Issue 1

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Ring extensions and related topics (13Bxx)

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Article
ON THE TRIVIALITY OF AN $\mathbb A^2$-FIBRATION OVER A DVR
PARNASHREE GHOSH, NEENA GUPTA
Nagoya Mathematical Journal, First View

Article
FORMAL LIFTING OF DUALIZING COMPLEXES AND CONSEQUENCES
SHIJI LYU
Nagoya Mathematical Journal, Volume 258

Article
COUNTING GEOMETRIC BRANCHES VIA THE FROBENIUS MAP AND F-NILPOTENT SINGULARITIES
HAILONG DAO, KYLE MADDOX, VAIBHAV PANDEY
Nagoya Mathematical Journal, Volume 255

Article
FORMALLY REGULAR RINGS AND DESCENT OF REGULARITY
Javier Majadas, Samuel Alvite, Nerea G. Barral
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 5

Article
HOW TO EXTEND CLOSURE AND INTERIOR OPERATIONS TO MORE MODULES
NEIL EPSTEIN, REBECCA R. G., JANET VASSILEV
Nagoya Mathematical Journal, Volume 255

Article
A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS
KEI NAKAZATO, KAZUMA SHIMOMOTO
Nagoya Mathematical Journal, Volume 253

Article
Hilbert rings with maximal ideals of different heights and unruly Hilbert rings
Y. Azimi
Canadian Mathematical Bulletin, Volume 66, Issue 1

Article
Embedding codimension of the space of arcs
Christopher Chiu, Tommaso de Fernex, Roi Docampo
Forum of Mathematics, Pi, Volume 10

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Theory of modules and ideals (13Cxx)

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Article
Ideals and their Fitting ideals
DAVID EISENBUD, ANTONINO FICARRA, JÜRGEN HERZOG, SOMAYEH MORADI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Locally compact modules over abelian groups and compactly generated metabelian groups
Yves Cornulier
Compositio Mathematica, Volume 161, Issue 6

Article
Free summands of stably free modules
Sebastian Gant, Ben Williams
Forum of Mathematics, Sigma, Volume 13

Article
TENSOR PRODUCTS OF d-FOLD MATRIX FACTORIZATIONS
RICHIE SHENG, TIM TRIBONE
Nagoya Mathematical Journal, First View

Article
LOCAL COHOMOLOGY UNDER SMALL PERTURBATIONS
LUÍS DUARTE
Nagoya Mathematical Journal, Volume 258

Article
Equivalences of stable categories of Gorenstein local rings
Tony J. Puthenpurakal
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
A sub-functor for Ext and Cohen–Macaulay associated graded modules with bounded multiplicity-II
Ankit Mishra, Tony J. Puthenpurakal
Glasgow Mathematical Journal, Volume 67, Issue 1

Article
Classification of multiplication modules over multiplication rings with finitely many minimal primes
Volodymyr Bavula
Glasgow Mathematical Journal, Volume 67, Issue 1

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Homological methods (13Dxx)

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Article
Regularity and multiplicity of Veronese type algebras
Kuei-Nuan Lin, Yi-Huang Shen
Canadian Mathematical Bulletin, First View

Article
G-dimensions for DG-modules over commutative DG-rings
Jiangsheng Hu, Xiaoyan Yang, Rongmin Zhu
Proceedings of the Edinburgh Mathematical Society, First View

Article
ON THE REGULARITY INDEX OF FAT POINTS WHOSE SUPPORT IS CONTAINED IN A LINEAR PROPER SUBSPACE
PHAN VAN THIEN
Bulletin of the Australian Mathematical Society, First View

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

Article
Derived functors and Hilbert polynomials over hypersurface rings
Tony J. Puthenpurakal
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Linear syzygies of curves in weighted projective space
Michael K. Brown, Daniel Erman
Compositio Mathematica, Volume 161, Issue 4

Article
Bernstein–Sato polynomials of locally quasi-homogeneous divisors in $\mathbb{C}^{3}$
Daniel Bath
Compositio Mathematica, Volume 161, 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

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Chain conditions, finiteness conditions (13Exx)

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Article
Locally compact modules over abelian groups and compactly generated metabelian groups
Yves Cornulier
Compositio Mathematica, Volume 161, Issue 6

Article
A tensor restriction theorem over finite fields
Andreas Blatter, Jan Draisma, Filip Rupniewski
Compositio Mathematica, Volume 161, Issue 5

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
On split quasi-hereditary covers and Ringel duality
Tiago Cruz
Forum of Mathematics, Sigma, Volume 12

Article
Classification of multiplication modules over multiplication rings with finitely many minimal primes
Volodymyr Bavula
Glasgow Mathematical Journal, Volume 67, Issue 1

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

Article
Classifying spaces for étale algebras with generators
Abhishek Kumar Shukla, Ben Williams
Canadian Journal of Mathematics, Volume 73, Issue 3

Article
FROM TOPOLOGIES OF A SET TO SUBRINGS OF ITS POWER SET
ALI JABALLAH, NOÔMEN JARBOUI
Bulletin of the Australian Mathematical Society, Volume 102, Issue 1

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Arithmetic rings and other special rings (13Fxx)

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Article
ON THE TRIVIALITY OF AN $\mathbb A^2$-FIBRATION OVER A DVR
PARNASHREE GHOSH, NEENA GUPTA
Nagoya Mathematical Journal, First View

Article
Regularity and multiplicity of Veronese type algebras
Kuei-Nuan Lin, Yi-Huang Shen
Canadian Mathematical Bulletin, First View

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

Article
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2
Emanuele Dotto
Forum of Mathematics, Sigma, Volume 13

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
The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue
GILYOUNG CHEONG, YIFENG HUANG
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 2

Article
TENSOR PRODUCTS OF d-FOLD MATRIX FACTORIZATIONS
RICHIE SHENG, TIM TRIBONE
Nagoya Mathematical Journal, First View

Article
THE DENSE REGION IN SCATTERING DIAGRAMS
TIM GRÄFNITZ, PATRICK LUO
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

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Integral domains (13Gxx)

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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
NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES
TOMOHIRO OKUMA, MARIA EVELINA ROSSI, KEI-ICHI WATANABE, KEN-ICHI YOSHIDA
Nagoya Mathematical Journal, Volume 248

Article
Revisiting G-Dedekind domains
M. Zafrullah
Canadian Mathematical Bulletin, Volume 66, Issue 1

Article
On the Integral Degree of Integral Ring Extensions
José M. Giral, Liam O'Carroll, Francesc Planas-Vilanova, Bernat Plans
Proceedings of the Edinburgh Mathematical Society, Volume 62, Issue 1

Article
Relative amenability and the non-amenability of B(l1)
C. J. Read
Journal of the Australian Mathematical Society, Volume 80, Issue 3

Article
On complete integral closure and Archimedean valuation domains
Robert Gilmer
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 61, Issue 3

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Local rings and semilocal rings (13Hxx)

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Article
On coefficient modules of arbitrary modules
Pedro Lima, Marcela Ferrari, Victor Jorge Pérez
Proceedings of the Edinburgh Mathematical Society, First View

Article
Regularity and multiplicity of Veronese type algebras
Kuei-Nuan Lin, Yi-Huang Shen
Canadian Mathematical Bulletin, First View

Article
Derived functors and Hilbert polynomials over hypersurface rings
Tony J. Puthenpurakal
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

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
TENSOR PRODUCTS OF d-FOLD MATRIX FACTORIZATIONS
RICHIE SHENG, TIM TRIBONE
Nagoya Mathematical Journal, First View

Article
On the gluing of germs of complex analytic spaces, Betti numbers, and their structure
Thiago Henrique Freitas, Johnny Albert Lima
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
TILTING COMPLEXES AND CODIMENSION FUNCTIONS OVER COMMUTATIVE NOETHERIAN RINGS
MICHAL HRBEK, TSUTOMU NAKAMURA, JAN ŠŤOVÍČEK
Nagoya Mathematical Journal, Volume 255

Article
Convexity of multiplicities of filtrations on local rings
Harold Blum, Yuchen Liu, Lu Qi
Compositio Mathematica, Volume 160, Issue 4

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Topological rings and modules (13Jxx)

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Article
GAGA FOR HENSELIAN SCHEMES
Sheela Devadas
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 4

Article
Sums of squares, Hankel index and almost real rank
Grigoriy Blekherman, Justin Chen, Jaewoo Jung
Forum of Mathematics, Sigma, Volume 12

Article
HOW TO EXTEND CLOSURE AND INTERIOR OPERATIONS TO MORE MODULES
NEIL EPSTEIN, REBECCA R. G., JANET VASSILEV
Nagoya Mathematical Journal, Volume 255

Article
A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS
KEI NAKAZATO, KAZUMA SHIMOMOTO
Nagoya Mathematical Journal, Volume 253

Article
Gabber rigidity in hermitian K-theory
Markus Land
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 6

Article
DEFINABILITY OF HENSELIAN VALUATIONS BY CONDITIONS ON THE VALUE GROUP
LOTHAR SEBASTIAN KRAPP, SALMA KUHLMANN, MORITZ LINK
The Journal of Symbolic Logic, Volume 88, Issue 3

Article
The spectrum of a localic semiring
GRAHAM MANUELL
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 173, Issue 3

Article
A uniform treatment of Grothendieck's localization problem
Takumi Murayama
Compositio Mathematica, Volume 158, Issue 1

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Applications of logic to commutative algebra (13Lxx)

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Article
Uniform Properties of Ideals in Rings of Restricted Power Series
Madeline G. Barnicle
Bulletin of Symbolic Logic, Volume 28, Issue 2

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

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Finite commutative rings (13Mxx)

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Article
Functional degrees and arithmetic applications III: beyond prime exponent
PETE L. CLARK, UWE SCHAUZ
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

Article
RINGS OF TETER TYPE
OLEKSANDRA GASANOVA, JÜRGEN HERZOG, TAKAYUKI HIBI, SOMAYEH MORADI
Nagoya Mathematical Journal, Volume 248

Article
FROM TOPOLOGIES OF A SET TO SUBRINGS OF ITS POWER SET
ALI JABALLAH, NOÔMEN JARBOUI
Bulletin of the Australian Mathematical Society, Volume 102, Issue 1

Article
Spectra of Boolean Graphs Over Finite Fields of Characteristic Two
D. Scott Dillery, John D. LaGrange
Canadian Mathematical Bulletin, Volume 63, Issue 1

Article
CONGRUENCE OF SYMMETRIC INNER PRODUCTS OVER FINITE COMMUTATIVE RINGS OF ODD CHARACTERISTIC
SONGPON SRIWONGSA
Bulletin of the Australian Mathematical Society, Volume 96, Issue 3

Article
POLYNOMIAL EQUIVALENCE OF FINITE RINGS
GEORG GRASEGGER, GÁBOR HORVÁTH, KEITH A. KEARNES
Journal of the Australian Mathematical Society, Volume 96, Issue 2

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Differential algebra (13Nxx)

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Article
The Hilbert series of the superspace coinvariant ring
Brendon Rhoades, Andrew Timothy Wilson
Forum of Mathematics, Pi, Volume 12

Article
CODIMENSION ONE FOLIATIONS IN POSITIVE CHARACTERISTIC
Wodson Mendson, Jorge Vitório Pereira
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 4

Article
ON THE LND CONJECTURE
XIAOSONG SUN, BEINI WANG
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
On one-dimensional local rings and Berger’s conjecture
Cleto B. Miranda-Neto
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 2

Article
MAGNETIC (QUASI-)MODULAR FORMS
VICENŢIU PAŞOL, WADIM ZUDILIN
Nagoya Mathematical Journal, Volume 248

Article
Linear PDE with constant coefficients
Rida Ait El Manssour, Marc Härkönen, Bernd Sturmfels
Glasgow Mathematical Journal, Volume 65, Issue S1

Article
SIMPLICITY CRITERIA FOR RINGS OF DIFFERENTIAL OPERATORS
V. V. BAVULA
Glasgow Mathematical Journal, Volume 64, Issue 2

Article
THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER
HANNAH BERGNER, PATRICK GRAF
Forum of Mathematics, Sigma, Volume 8

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Computational aspects and applications (13Pxx)

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Article
Increasing subsequences, matrix loci and Viennot shadows
Brendon Rhoades
Forum of Mathematics, Sigma, Volume 12

Article
ON THE BINARY SEQUENCE $(1,1,0,1,0^3,1,0^7,1,0^{15},\ldots )$
GRAHAM H. NORTON
Bulletin of the Australian Mathematical Society, Volume 111, Issue 2

Article
Ideals with componentwise linear powers
Takayuki Hibi, Somayeh Moradi
Canadian Mathematical Bulletin, Volume 67, Issue 3

Article
Toric degenerations of low-degree hypersurfaces
Nathan Ilten, Oscar Lautsch
Canadian Mathematical Bulletin, Volume 66, Issue 4

Article
Arquile Varieties – Varieties Consisting of Power Series in a Single Variable
Herwig Hauser, Sebastian Woblistin
Forum of Mathematics, Sigma, Volume 9

Article
Geometric vertex decomposition and liaison
Patricia Klein, Jenna Rajchgot
Forum of Mathematics, Sigma, Volume 9

Article
SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY
GLEB POGUDIN, THOMAS SCANLON, MICHAEL WIBMER
Forum of Mathematics, Sigma, Volume 8

Article
ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS
KUEI-NUAN LIN, YI-HUANG SHEN
Nagoya Mathematical Journal, Volume 243

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MSC 2010: Commutative algebra

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Commutative algebra (13-XX)

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General commutative ring theory (13Axx)

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Ring extensions and related topics (13Bxx)

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Theory of modules and ideals (13Cxx)

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Homological methods (13Dxx)

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Chain conditions, finiteness conditions (13Exx)

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Arithmetic rings and other special rings (13Fxx)

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Integral domains (13Gxx)

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Local rings and semilocal rings (13Hxx)

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Topological rings and modules (13Jxx)

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Applications of logic to commutative algebra (13Lxx)

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Finite commutative rings (13Mxx)

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Differential algebra (13Nxx)

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Computational aspects and applications (13Pxx)

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