01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
6.02.1975
E-mail:
,
Keywords:
rings,
modules,
algebras,
categories.
UDC:
512.555, 512.552, 512.55
Subject:
The theory of rings and modules.
Main publications:
A. N. Abyzov, “Obobschennye SV-moduli”, Sib. matem. zhurn., 50:3 (2009), 481–488
A. N. Abyzov, O nekotorykh klassakh poluartinovykh kolets, Sib. matem. zhurn., 53:5 (2012), 955-966
A. N. Abyzov, “Strogo q-nil-chistye koltsa”, Sib. matem. zhurn., 60:2 (2019), 257–273
A. N. Abyzov, Ch. K. Kuin, D. D. Tai, “Dualno avtomorfizm-invariantnye moduli nad sovershennymi koltsami”, Sib. matem. zhurn., 58:5 (2017), 959–971
A. N. Abyzov, V. T. Le, K. K. Chyuong, A. A. Tuganbaev, “Moduli, koinvariantnye otnositelno idempotentnykh endomorfizmov svoikh nakrytii”, Sib. matem. zhurn., 60:6 (2019), 1191–1208
Abyzov A.N, Truong C.Q., Lifting of automorphisms of factor modules//Communications in Algebra. - 2018. - Vol.46, Is.11. - P.5073-5082.
Abyzov A.N, Ha N.T.T, Quynh T.C, Modules close to the automorphism-invariant and coinvariant//Journal of Algebra and its Applications. - 2019. - Vol. 18, No. 12
A. N. Abyzov, D. T. Tapkin, “Fields over which matrices can be represented as the sum of potent and nilpotent matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 10, 78–82
2.
A. N. Abyzov, T. D. Bui, “Weakly injective modules and weakly projective modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 12, 3–26
2024
3.
A. N. Abyzov, Bui Tien Dat, “Essentially quasi-injective modules and their direct sums”, Russian Math. (Iz. VUZ), 68:7 (2024), 1–13
4.
A. N. Abyzov, D. T. Tapkin, “Representability of matrices over commutative rings as sums of two potent matrices”, Siberian Math. J., 65:6 (2024), 1227–1245
A. N. Abyzov, L. D. Beklemishev, S. S. Goncharov, Yu. L. Ershov, I. Sh. Kalimullin, V. L. Selivanov, A. L. Semenov, A. Tuganbaev, M. Kh. Faizrahmanov, “Marat Mirzaevich Arslanov (on his eightieth birthday)”, Russian Math. Surveys, 79:2 (2024), 369–373
2023
7.
A. N. Abyzov, A. D. Maklakov, “Finite topologies and their applications in linear algebra”, Russian Math. (Iz. VUZ), 67:1 (2023), 74–81
8.
A. N. Abyzov, D. T. Tapkin, “Rings, matrices over which are representable as the sum of two potent matrices”, Russian Math. (Iz. VUZ), 67:12 (2023), 82–85
2022
9.
A. N. Abyzov, M. M. Yamaleev, “On some properties of sequences of traces of powers of matrices”, Russian Math. (Iz. VUZ), 66:3 (2022), 72–74
2021
10.
A. N. Abyzov, D. T. Tapkin, “Rings over which matrices are sums of idempotent and $q$-potent matrices”, Siberian Math. J., 62:1 (2021), 1–13
11.
A. N. Abyzov, “Fagnano's method for solving algebraic equations: its historical overview and development”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 163, no. 3, Kazan University, Kazan, 2021, 304–348
2020
12.
A. N. Abyzov, T. H. Phan, C. Q. Truong, Siberian Math. J., 61:2 (2020), 187–198
2019
13.
Abyzov A.N, Ha N.T.T, Quynh T.C,, “Abyzov A.N, Ha N.T.T, Quynh T.C, Modules close to the automorphism-invariant and coinvariant//Journal of Algebra and its Applications. - 2019. - Vol. 18, No. 12”, Journal of Algebra and its Application, 18:12 (2019) (to appear)
14.
A. N. Abyzov, A. A. Tuganbaev, D. T. Tapkin, T. C. Quynh, “Direct projective modules, direct injective modules, and their generalizations”, Algebra, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 164, VINITI, Moscow, 2019, 125–139
2021
15.
A. N. Abyzov, T. C. Quynh, A. A. Tuganbaev, “Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers”, J. Math. Sci. (N. Y.), 256:3 (2021), 235–277
2019
16.
A. N. Abyzov, V. T. Le, C. Q. Truong, A. A. Tuganbaev, “Modules coinvariant under the idempotent endomorphisms of their covers”, Siberian Math. J., 60:6 (2019), 927–939
17.
A. N. Abyzov, “Strongly $q$-nil-clean rings”, Siberian Math. J., 60:2 (2019), 197–208
2018
18.
A. N. Abyzov, M. M. Arslanov, “Studies in algebra and mathematical logic at the Kazan University”, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 157, VINITI, Moscow, 2018, 3–7
19.
A. N. Abyzov, “Almost Projective and Almost Injective Modules”, Math. Notes, 103:1 (2018), 3–17
2017
20.
A. N. Abyzov, “Rings over which every module is an $I_0^*$-module”, Russian Math. (Iz. VUZ), 61:12 (2017), 1–12
21.
A. N. Abyzov, I. I. Mukhametgaliev, “On Some Matrix Analogs of the Little Fermat Theorem”, Math. Notes, 101:2 (2017), 187–192
22.
A. N. Abyzov, T. C. Quynh, D. D. Tai, “Dual automorphism-invariant modules over perfect rings”, Siberian Math. J., 58:5 (2017), 743–751
2018
23.
A. N. Abyzov, A. A. Tuganbaev, “Formal matrices and rings close to regular”, J. Math. Sci., 233:5 (2018), 604–615
2015
24.
A. N. Abyzov, “Rings of formal matrices close to regular ones”, Russian Math. (Iz. VUZ), 59:10 (2015), 49–52
25.
A. N. Abyzov, D. T. Tapkin, “On certain classes of rings of formal matrices”, Russian Math. (Iz. VUZ), 59:3 (2015), 1–12
26.
A. N. Abyzov, D. T. Tapkin, “Formal matrix rings and their isomorphisms”, Siberian Math. J., 56:6 (2015), 955–967
2016
27.
A. N. Abyzov, A. A. Tuganbaev, “Retractable and coretractable modules”, J. Math. Sci., 213:2 (2016), 132–142
2015
28.
A. N. Abyzov, A. A. Tuganbaev, “Modules in which sums or intersections of two direct summands are direct summands”, J. Math. Sci., 211:3 (2015), 297–303
2014
29.
A. N. Abyzov, “$I_0^*$-modules”, Russian Math. (Iz. VUZ), 58:8 (2014), 1–14
30.
A. N. Abyzov, Tran Hoai Ngoc Nhan, “CS-Rickart modules”, Russian Math. (Iz. VUZ), 58:5 (2014), 48–52
2012
31.
A. N. Abyzov, “Regular semiartinian rings”, Russian Math. (Iz. VUZ), 56:1 (2012), 1–8
32.
A. N. Abyzov, “On some classes of semiartinian rings”, Siberian Math. J., 53:5 (2012), 763–771
33.
A. N. Abyzov, Yu. A. Alpin, N. A. Koreshkov, M. F. Nasrutdinov, S. N. Tronin, “Algebraic studies at Kazan University from V. V. Morozov to our days”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 2, Kazan University, Kazan, 2012, 44–59
2011
34.
A. N. Abyzov, “Generalized $SV$-rings of bounded index of nilpotency”, Russian Math. (Iz. VUZ), 55:12 (2011), 1–10
35.
A. N. Abyzov, “Fully idempotent homomorphisms”, Russian Math. (Iz. VUZ), 55:8 (2011), 1–6
2012
36.
A. N. Abyzov, A. A. Tuganbaev, “Homomorphisms close to regular and their applications”, J. Math. Sci., 183:3 (2012), 275–298
2009
37.
A. N. Abyzov, “Generalized $SV$-modules”, Siberian Math. J., 50:3 (2009), 379–384
2010
38.
A. N. Abyzov, A. A. Tuganbaev, “Submodules and direct summands”, J. Math. Sci., 164:1 (2010), 1–20
2009
39.
A. N. Abyzov, A. A. Tuganbaev, “Rings over which all modules are $I_0$-modules. II”, J. Math. Sci., 162:5 (2009), 587–593
2008
40.
A. N. Abyzov, “Weakly regular modules over normal rings”, Siberian Math. J., 49:4 (2008), 575–586
2005
41.
A. N. Abyzov, “Direct sums of weakly regular modules”, Russian Math. (Iz. VUZ), 49:2 (2005), 71
2004
42.
A. N. Abyzov, “Weakly regular modules”, Russian Math. (Iz. VUZ), 48:3 (2004), 1–3
2003
43.
A. N. Abyzov, “Closure of weakly regular modules with respect to direct sums”, Russian Math. (Iz. VUZ), 47:9 (2003), 1–3
44.
A. N. Abyzov, “1-strictly weakly regular modules and rings”, Russian Math. (Iz. VUZ), 47:7 (2003), 1–5
2025
Contact us: