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References

Published online by Cambridge University Press:  08 March 2021

Ashish K. Srivastava ,
Askar Tuganbaev  and
Pedro A. Guil Asensio
Ashish K. Srivastava
Affiliation:
St Louis University, Missouri
Askar Tuganbaev
Affiliation:
National Research University 'Moscow Power Engineering Institute'
Pedro A. Guil Asensio
Affiliation:
Universidad de Murcia, Spain
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Invariance of Modules under Automorphisms of their Envelopes and Covers , pp. 215 - 221
Publisher: Cambridge University Press
Print publication year: 2021

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References

[1] Abyzov, A. N., Kosan, M. T. and Quynh, T. C., On (weakly) co-Hopfian automorphism-invariant modules, Comm. Algebra, (2020), doi: 10.1080/00927872.2020.1723613.Google Scholar
[2] Abyzov, A. N., Le, V. T., Truong, C. Q. and Tuganbaev, A. A., Modules coinvariant under the idempotent endomorphisms of their covers, Sib. Math. J., 60, 6 (2019), 927–939.Google Scholar
[3] Abyzov, A. N., Quynh, T. C. and Tai, D. D., Dual automorphism-invariant modules over perfect rings, Sib. Math. J., 58, 5 (2017), 743–751.Google Scholar
[4] Abyzov, A. N. and Truong, C. Q., Lifting of automorphisms of factor modules, Comm. Algebra, 46, 11 (2018), 5073–5082.Google Scholar
[5] Alahmadi, A., Er, N. and Jain, S. K., Modules which are invariant under monomorphisms of their injective hulls, J. Aust. Math. Soc., 79 (2005), 349–360.CrossRefGoogle Scholar
[6] Alahmadi, A., Facchini, A. and Tung, N. K., Automorphism-invariant modules, Rend. Sem. Mat. Univ. Padova, 133 (2015), 241–259.Google Scholar
[7] Anderson, F. W. and Fuller, K. R., Rings and Categories of Modules, Graduate Texts in Mathematics, 13, Springer-Verlag, New York, 1992.CrossRefGoogle Scholar
[8] Ara, P., Goodearl, K. R., ÓMera, K. C. and Pardo, E., Diagonalization of matrices over regular rings, Linear Algebra Appl., 265 (1997), 147–163.Google Scholar
[9] Bass, H., Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc., 95, 3 (1960), 466–488.CrossRefGoogle Scholar
[10] Beidar, K. I., Jain, S. K., The structure of right continuous right π-rings, Comm. Algebra, 32, 1 (2004), 315–332.CrossRefGoogle Scholar
[11] Bican, L., El Bashir, R., Enochs, E., All modules have flat covers, Bull. London Math. Soc., 33 (2001), 385–390.Google Scholar
[12] Boyle, A. K., Hereditary QI-rings, Trans. Amer. Math. Soc., 192 (1974), 115–120.Google Scholar
[13] Breaz, S., Calugareanu, G. and Schultz, P., Subgroups which admit extensions of homomorphisms, Forum Math., 27, 5 (2015), 2533–2549.Google Scholar
[14] Bumby, R. T., Modules which are isomorphic to submodules of each other, Arch. der Math. 16 (1965), 184–185.Google Scholar
[15] Connell, I., On the group ring, Canad. J. Math., 15 (1963), 650–685.Google Scholar
[16] Cortés-Izurdiaga, M., Guil Asensio, P. A., Kalebog̃az, B. and Srivastava, A. K., Ziegler partial morphisms in additive exact categories, Bull. Math. Sci., (2020), doi: 10.1142/S1664360720500125.CrossRefGoogle Scholar
[17] Crawley-Boevey, W., Locally finitely presented additive categories, Comm. Algebra 22 (1994), 1641–1674.Google Scholar
[18] Camillo, V. P., Distributive modules, J. Algebra, 36, 1 (1975), 16–25.Google Scholar
[19] Camillo, V. P. and Yu, H.-P., Exchange rings, units and idempotents, Comm. Algebra, 22, 12 (1994), 4737–4749.CrossRefGoogle Scholar
[20] Camillo, V. P., Khurana, D., Lam, T. Y., Nicholson, W. K. and Zhou, Y., Continuous modules are clean, J. Algebra, 304, 1 (2006), 94–111.Google Scholar
[21] Crawley, P. and Jónsson, B., Refinements for infinite direct decompositions of algebraic systems, Pacific J. Math., 14 (1964), 797–855.Google Scholar
[22] Dickson, S. E. and Fuller, K. R., Algebras for which every indecomposable right module is invariant in its injective envelope, Pacific J. Math., 31, 3 (1969), 655–658.Google Scholar
[23] Dieudonné, J., La théorie de Galois des anneux simples et semi-simples, Comment. Math. Helv., 21 (1948), 154–184.CrossRefGoogle Scholar
[24] Dung, N. V., Huynh, D. V., Smith, P. F. and Wisbauer, R., Extending Modules, John Wiley and Sons Inc., New York, 1994.Google Scholar
[25] Eckmann, B. and Schopf, A., Uber injektive moduln, Archiv der Math., 4, 2, (1953), 75–78.Google Scholar
[26] Eisenbud, D. and Griffith, P., Serial rings, J. Algebra, 17 (1971), 389–400.Google Scholar
[27] Enochs, E., Injective and flat covers, envelopes and resolvents, Israel J. Math. 39, (1981), 189–209.Google Scholar
[28] Enochs, E., García Rozas, J. R., Jenda, O. M. G. and Oyonarte, L., Compact coGalois groups, Math. Proc. Cambridge Phil. Soc., 128, 2 (2000), 233–244.Google Scholar
[29] Enochs, E., Estrada, S. and García Rozas, J. R., Galois and coGalois groups associated with cotorsion theories, Houston J. Math., 32, 3 (2006), 651–663.Google Scholar
[30] Enochs, E., Estrada, S., García Rozas, J. R. and Oyonarte, L., Flat covers in the category of quasi-coherent sheaves over the projective line, Comm. Algebra, 32, 4 (2004), 1497–1508.Google Scholar
[31] Er, N., Rings whose modules are direct sums of extending modules, Proc. Amer. Math. Soc., 137, 2 (2009), 2265–2271.CrossRefGoogle Scholar
[32] Er, N., Singh, S. and Srivastava, A. K., Rings and modules which are stable under automorphisms of their injective hulls, J. Algebra, 379 (2013), 223–229.Google Scholar
[33] Faith, C., Algebra: Rings, Modules and Categories I, Springer, Berlin, New York, 1973.Google Scholar
[34] Faith, C., Algebra II, Springer, Berlin, New York, 1976.Google Scholar
[35] Faith, C. and Utumi, Y., Quasi-injective modules and their endomorphism rings, Arch. Math., 15 (1964), 166–174.Google Scholar
[36] Fuchs, L., On quasi-injective modules, Ann. Sculoa Norm. Sup. Pisa, 23 (1969), 541–546.Google Scholar
[37] Göbel, R. and Trlifaj, J., Approximations and Endomorphism Algebras of Modules, Volume 1, Approximations. 2nd revised and extended ed. de Gruyter Expositions in Mathematics, 41. Walter de Gruyter GmbH & Co. KG, Berlin, 2012.Google Scholar
[38] Goel, S. C. and Jain, S. K., Semiperfect rings with quasi-projective left ideals, Math. J. Okayama, 19 (1976), 39–43.Google Scholar
[39] Goodearl, K. R., Ring Theory, Marcel Dekker, New York, 1976.Google Scholar
[40] Goodearl, K. R., Von Neumann Regular Rings, Krieger Publishing Company, Malabar, Florida, 1991.Google Scholar
[41] Goodearl, K. R. and Warfield, R. B., An Introduction to Noncommutative Noetherian rings, London Mathematical Society Student Texts 16, Cambridge University Press, Cambridge (1989).Google Scholar
[42] Gordon, R. and Robson, J. C., Krull dimension, memoirs. Amer. Math. Soc., 133 (1973), 1–78.Google Scholar
[43] Gowers, W. T., A solution to the Schroeder–Bernstein problem for Banach spaces, Bull. London Math. Soc., 28 (1996), 297–304.Google Scholar
[44] Guil Asensio, P. A. and Herzog, I., Left cotorsion rings, Bull. London Math. Soc., 36 (2004), 303–309.Google Scholar
[45] Guil Asensio, P. A. and Herzog, I., Sigma-cotorsion rings, Adv. Math., 191, 1 (2005), 11–28.Google Scholar
[46] Guil Asensio, P. A. and Srivastava, A. K., Automorphism-invariant modules satisfy the exchange property, J. Algebra, 388 (2013), 101–106.Google Scholar
[47] Guil Asensio, P. A. and Srivastava, A. K., Additive unit representations in endomorphism rings and an extension of a result of Dickson and Fuller, Ring Theory and Its Applications, Contemp. Math., Amer. Math. Soc., 609 (2014), 117–121.Google Scholar
[48] Guil Asensio, P. A. and Srivastava, A. K., Automorphism-invariant modules, Noncommutative rings and their applications, Contemp. Math., Amer. Math. Soc., 634 (2015), 19–30.Google Scholar
[49] Guil Asensio, P. A., Keskin Tütüncü, D. and Srivastava, A. K., Modules invariant under automorphisms of their covers and envelopes, Israel J. Math., 206 (2015), 457–482.CrossRefGoogle Scholar
[50] Guil Asensio, P. A., Keskin Tütüncü, D. and Srivastava, A. K., Modules invariant under monomorphisms of their envelopes, Contemporary Math., Amer. Math. Soc., volume 715 (2018), 171–179.Google Scholar
[51] Guil Asensio, P. A., Keskin Tütüncü, D., Kalebog̃az, Berke and Srivastava, A. K., Modules which are coinvariant under automorphisms of their projective covers, J. Algebra, 466 (2016), 147–152.Google Scholar
[52] Guil Asensio, P. A., Kalebog̃az, Berke and Srivastava, A. K., Schröder–Bernstein problem for modules, J. Algebra, 498 (2018), 153–164.Google Scholar
[53] Guil Asensio, P. A., Quynh, T. C. and Srivastava, A. K., Additive unit structure of endomorphism rings and invariance of modules, Bull. Math. Sci., 7 (2017), 229–246.CrossRefGoogle Scholar
[54] Guralnick, R. and Lanski, C., Pseudosimilarity and cancellation of modules, Linear Algebra Appl., 47 (1982), 111–115.Google Scholar
[55] Handelman, D., Strongly semiprime rings, Pacific J. Math., 60, 1 (1975), 115–122.Google Scholar
[56] Handelman, D., Perspectivity and cancellation in regular rings, J. Algebra, 48 (1977), 1–16.Google Scholar
[57] Handelman, D. and Lawrence, J., Strongly prime rings, Trans. Amer. Math. Soc., 211 (1975), 209–223.CrossRefGoogle Scholar
[58] Hattori, A., A foundation of torsion theory for modules over general rings, Nagoya Math. J., 17 (1960), 147–158.Google Scholar
[59] Hochschild, G., Automorphisms of simple algebras, Trans. Amer. Math. Soc., 69 (1950), 292–301.CrossRefGoogle Scholar
[60] Huisgen-Zimmermann, B. and Zimmermann, W., Algebraically compact rings and modules, Math. Z., 161 (1978), 81–93.CrossRefGoogle Scholar
[61] Huisgen-Zimmermann, B. and Zimmermann, W., Classes of modules with the exchange property, J. Algebra, 88(2) (1984), 416–434.Google Scholar
[62] Ivanov, G., On a generalisation of self-injective von Neumann regular rings, Proc. Amer. Math. Soc., 124, 4 (1996), 1051–1060.Google Scholar
[63] Jain, S. K. and Singh, S., On pseudo-injective modules and self-pseudo-injective rings, J. Math. Sci., 2 (1967), 23–31.Google Scholar
[64] Jain, S. K. and Singh, S., Quasi-injective and pseudo-injective modules, Canadian Math. Bull., 18, 3 (1975), 359–366.Google Scholar
[65] Jain, S. K. and Singh, S., Rings with quasi-projective left ideals, Pacific J. Math., 60 (1975), 169–181.Google Scholar
[66] Jain, S. K., Singh, S. and Srivastava, A. K., On Σ-q rings, J. Pure Appl. Algebra, 213(6) (2009), 969–976.CrossRefGoogle Scholar
[67] Jain, S. K., Srivastava, A. K. and Tuganbaev, A. A., Cyclic Modules and the Structure of Rings, Oxford University Press, Oxford, 2012.Google Scholar
[68] Janakiraman, S. Skew projective Abelian groups, Indag. Math., 76, 3 (1973), 233–236.Google Scholar
[69] Jategaonkar, A. V., Jacobson’s conjecture and modules over fully bounded noetherian rings, J. Algebra, 30 (1974), 103–121.Google Scholar
[70] Jeremy, L., Modules et anneaux quasi-continus, Canad. Math. Bull., 17, 2 (1974), 217–228.Google Scholar
[71] Johnson, R. E. and Wong, F. T., Quasi-injective modules and irreducible rings, J. London Math. Soc., 36 (1961), 260–268.Google Scholar
[72] Kaplansky, I., Rings of operators, Mathematics Lecture Note Series, W. A. Benjamin, New York, 1968.Google Scholar
[73] Khurana, D. and Srivastava, A. K., Right self-injective rings in which each element is sum of two units, J. Alg. Appl., 6, 2 (2007), 281–286.Google Scholar
[74] Khurana, D. and Srivastava, A. K., Unit sum numbers of right self-injective rings, Bull. of Aust. Math. Soc., 75, 3 (2007), 355–360.Google Scholar
[75] Kuratomi, Y., Decompositions of dual automorphism invariant modules over semiperfect rings, Sib. Math. J., 60, 3 (2019), 490–496.CrossRefGoogle Scholar
[76] Kutami, M. and Oshiro, K., Strongly semiprime rings and nonsingular quasi-injective modules, Osaka J. Math., 17 (1980), 41–50.Google Scholar
[77] Lam, T. Y., Exercises in Classical Ring Theory, Springer, New York, 1995.Google Scholar
[78] Lawrence, J., A singular primitive ring, Trans. Amer. Math. Soc., 45, 1 (1974), 59–62.Google Scholar
[79] Lee, T. K. and Zhou, Y., Modules which are invariant under automorphisms of their injective hulls, J. Algebra Appl., 6, 2 (2013), 9 pp.Google Scholar
[80] Lenagan, T. H., Bounded hereditary Noetherian prime rings, J. London Math. Soc., 6 (1973), 241–246.Google Scholar
[81] McConnell, J. C. and Robson, J. C., Noncommutative Noetherian Rings. New York: Wiley-Interscience, 1987.Google Scholar
[82] Mishina, A. P., On automorphisms and endomorphisms of Abelian groups, Moscow Univ. Math. Bull., 1 (1972), 62–66.Google Scholar
[83] Mohamed, S. H. and Müller, B. J., Continuous and Discrete Modules, Cambridge University Press, Cambridge, 1990.Google Scholar
[84] Nicholson, W. K., Lifting idempotents and exchange rings, Trans. Amer. Math. Soc., 229, (1977), 269–278.Google Scholar
[85] Nielsen, P. P., Square-free modules with the exchange property, J. Algebra, 323, 7 (2010), 1993–2001.Google Scholar
[86] Quynh, T. C., Abyzov, A. N., Ha, N. T. T. and Yildirim, T., Modules close to the automorphism-invariant and coinvariant, J. Algebra Appl., 18, 12 (2019), 1950235.Google Scholar
[87] Selvaraj, C. and Santhakumar, A. S., Automorphism-liftable modules, Comment. Math. Univ. Carolin., 59, 1 (2018), 35–44.Google Scholar
[88] Simson, D., On pure semi-simple Grothendieck categories I, Fund. Math., 100 (1978), 211–222.Google Scholar
[89] Singh, S., On pseudo-injective modules, Riv. Mat. Univ. Parma., 9 (1969), 59–65.Google Scholar
[90] Singh, S., Quasi-injective and quasi-projective modules over hereditary Noetherian prime rings, Canad. J. Math., 26, 5 (1974), 1173–1185.Google Scholar
[91] Singh, S., Modules over hereditary Noetherian prime rings, Canad. J. Math., 27, 4 (1975), 867–883.Google Scholar
[92] Singh, S. and Al-Bleehed, H., Rings with indecomposable modules local, Beiträge zur Algebra und Geometrie, 45 (2005), 239–251.Google Scholar
[93] Singh, S. and Srivastava, A. K., Dual automorphism-invariant modules, J. Algebra, 371 (2012), 262–275.Google Scholar
[94] Singh, S. and Srivastava, A. K., Rings of invariant module type and automorphism-invariant modules, Ring Theory and Its Applications, Contemporary Mathematics, Amer. Math. Soc., 609 (2014), 299–311.Google Scholar
[95] Skornyakov, L. A., Compelemented Modular Lattices and Regular Rings, Oliver & Boyd, Edinburgh, 1964.Google Scholar
[96] Stenström, B., Rings of Quotients, Springer, Berlin, New York, 1975.Google Scholar
[97] Stephenson, W., Modules whose lattice of submodules is distributive, Proc. London Math. Soc., 28, 2 (1974), 291–310.Google Scholar
[98] Stringall, R. W., Endomorphism rings of abelian groups generated by automorphism groups, Acta. Math., 18 (1967), 401–404.Google Scholar
[99] Tachikawa, H., QF-3 rings and categories of projective modules, J. Algebra, 28, 3 (1974), 408–413.Google Scholar
[100] Teply, M. L., Pseudo-injective modules which are not quasi-injective, Proc. Amer. Math. Soc., 49, 2 (1975), 305–310.Google Scholar
[101] Tuganbaev, A. A., Structure of modules close to injective, Sib. Math. J., 18, 4 (1977), 631–637.Google Scholar
[102] Tuganbaev, A. A., The structure of modules close to projective modules, Sbornik: Mathematics, 35, 2 (1979), 219–228.Google Scholar
[103] Tuganbaev, A. A., Self-injective rings, Soviet Math. (Iz. VUZ), 24, 2 (1980), 87–91.Google Scholar
[104] Tuganbaev, A. A., Quasi-projective modules, Sib. Math. J., 21, 3 (1980), 446–450.Google Scholar
[105] Tuganbaev, A. A., Semiprojective modules, Sib. Math. J., 21, 5 (1980), 725–728.Google Scholar
[106] Tuganbaev, A. A., Poorly injective rings, Soviet Math. (Iz. VUZ), 25, 9 (1981), 59–63.Google Scholar
[107] Tuganbaev, A. A., Rings over which all cyclic modules are skew-injective [In Russian], Trudi sem. Petrovskogo, 6 (1981), 257–262.Google Scholar
[108] Tuganbaev, A. A., Integrally closed rings, Math. USSR-Sb. 43, 4 (1982), 485–498.Google Scholar
[109] Tuganbaev, A. A., Semiinjective modules, Math. Notes, 31, 3 (1982), 230–234.Google Scholar
[110] Tuganbaev, A. A., Small-injective rings, Russian Math. Surveys, 37, 5 (1982), 196–197.Google Scholar
[111] Tuganbaev, A. A., Rings with skew-injective cyclic modules [In Russian], Abelian Groups and Modules, Tomsk State University, Tomsk (1986), 151–158.Google Scholar
[112] Tuganbaev, A. A., Rings with skew-injective factor rings, Soviet Math. (Iz. VUZ), 35, 1 (1991), 97–108.Google Scholar
[113] Tuganbaev, A. A., Semidistributive Modules and Rings, Kluwer Academic Publishers, Dordrecht-Boston-London, 1998.CrossRefGoogle Scholar
[114] Tuganbaev, A. A., Modules over bounded Dedekind prime rings, Sbornik: Mathematics, 192, 5 (2001), 705–724.Google Scholar
[115] Tuganbaev, A. A., Rings over which all modules are completely integrally closed, Discrete Math. Appl., 21, 4 (2011), 477–497.Google Scholar
[116] Tuganbaev, A. A., Automorphisms of submodules and their extensions, Discrete Math. Appl., 23, 1 (2013), 115–124.Google Scholar
[117] Tuganbaev, A. A., Characteristic submodules of injective modules, Discrete Math. Appl., 23, 2 (2013), 203–209.Google Scholar
[118] Tuganbaev, A. A., Extensions of automorphisms of submodules, J. Math. Sci. (New York), 206, 5 (2015), 583–596.CrossRefGoogle Scholar
[119] Tuganbaev, A. A., Automorphism-invariant modules, J. Math. Sci. (New York), 206, 6 (2015), 694–698.Google Scholar
[120] Tuganbaev, A. A., Characteristic submodules of injective modules over strongly prime rings, Discrete Math. Appl., 24, 4 (2014), 253–256.Google Scholar
[121] Tuganbaev, A. A., Automorphism-extendable modules, Discrete Math. Appl., 25, 5 (2015), 305–309.Google Scholar
[122] Tuganbaev, A. A., Modules over strongly prime rings, J. Algebra Appl., 14, 5 (2015), 9 pp.Google Scholar
[123] Tuganbaev, A. A., Automorphism-extendable semi-Artinian modules, J. Algebra Appl., 16, 2 (2017), 1750029, 5 pp.Google Scholar
[124] Tuganbaev, A. A., Automorphism-invariant non-singular rings and modules, J. Algebra, 485 (2017), 247–253.Google Scholar
[125] Tuganbaev, A. A., Injective and automorphism-invariant non-singular modules, Communications in Algebra, 46, 4 (2018), 1716–172.Google Scholar
[126] Tuganbaev, A. A., Modules over strongly semiprime rings, Discrete Math. Appl., 29, 2 (2019), 143–147.Google Scholar
[127] Tuganbaev, Askar, Automorphism-Liftable Modules, to appear. Also see (2019), arXiv:1907.00947 [math.RA].Google Scholar
[128] Tuganbaev, A. A., Automorphism-extendable and endomorphism-extendable Modules, J. Math. Sci. (New York), 245, 2 (2020), 234–284.Google Scholar
[129] Utumi, Y., On continuous rings and self injective rings, Trans. Amer. Math. Soc., 118 (1965), 1–11.Google Scholar
[130] Vamos, P., 2-Good rings, The Quart. J. Math., 56 (2005), 417–430.Google Scholar
[131] Warfield, R. B., Jr., Decompositions of injective modules, Pacific J. Math., 31 (1969), 263–276.Google Scholar
[132] Warfield, R. B., Purity and algebraic compactness for modules, Pacific J. Math., 28 (1969), 699–719.CrossRefGoogle Scholar
[133] Warfield, R. B., Exchange rings and decompositions of modules, Math. Ann., 199 (1972), 31–36.Google Scholar
[134] Wisbauer, R., Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.Google Scholar
[135] Wolfson, K. G., An ideal theoretic characterization of the ring of all linear transformations, Amer. J. Math., 75 (1953), 358–386.Google Scholar
[136] Wu, L. E. T. and Jans, J. P., On quasi-projectives, Illinois J. Math., 11 (1967), 439–448.Google Scholar
[137] Xu, J., Flat covers of modules, Lecture Notes in Mathematics, 1634. Springer-Verlag, Berlin, 1996.Google Scholar
[138] Yu, H.-P., Stable range one for exchange rings, J. Pure Appl. Algebra, 98 (1995), 105–109.Google Scholar
[139] Zelinsky, D., Every lnear transformation is sum of nonsingular ones, Proc. Amer. Math. Soc., 5 (1954), 627–630.Google Scholar
[140] Ziegler, M., Model theory of modules, Ann. Pure Appl. Logic, 26, 2 (1984), 149–213.Google Scholar
[141] Zimmermann, W., (Σ-) algebraic compactness of rings. J. Pure Appl. Algebra, 23 (1982), 319–328.Google Scholar

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