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, Bui Tien Dat, “Essentially quasi-injective modules and their direct sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 7, 9–23
2023
2.
A. N. Abyzov, D. T. Tapkin, “Rings, matrices over which are representable as the sum of two potent matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12, 90–94
3.
A. N. Abyzov, A. D. Maklakov, “Finite topologies and their applications in linear algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 1, 87–96; Russian Math. (Iz. VUZ), 67:1 (2023), 74–81
2022
4.
A. N. Abyzov, M. M. Yamaleev, “On some properties of sequences of traces of powers of matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3, 85–88; Russian Math. (Iz. VUZ), 66:3 (2022), 72–74
A. N. Abyzov, D. T. Tapkin, “Rings over which matrices are sums of idempotent and $q$-potent matrices”, Sibirsk. Mat. Zh., 62:1 (2021), 3–18; Siberian Math. J., 62:1 (2021), 1–13
A. N. Abyzov, “Fagnano's method for solving algebraic equations: its historical overview and development”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 163:3-4 (2021), 304–348
2020
7.
A. N. Abyzov, T. H. Phan, C. Q. Truong, “Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals”, Sibirsk. Mat. Zh., 61:2 (2020), 239–254; Siberian Math. J., 61:2 (2020), 187–198
2019
8.
A. N. Abyzov, A. A. Tuganbaev, D. T. Tapkin, T. C. Quynh, “Direct projective modules, direct injective modules, and their generalizations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 164 (2019), 125–139
9.
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”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 159 (2019), 3–45; J. Math. Sci. (N. Y.), 256:3 (2021), 235–277
A. N. Abyzov, V. T. Le, C. Q. Truong, A. A. Tuganbaev, “Modules coinvariant under the idempotent endomorphisms of their covers”, Sibirsk. Mat. Zh., 60:6 (2019), 1191–1208; Siberian Math. J., 60:6 (2019), 927–939
A. N. Abyzov, M. M. Arslanov, “Studies in algebra and mathematical logic at the Kazan University”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 157 (2018), 3–7
13.
A. N. Abyzov, “Almost Projective and Almost Injective Modules”, Mat. Zametki, 103:1 (2018), 3–19; Math. Notes, 103:1 (2018), 3–17
A. N. Abyzov, “Rings over which every module is an $I_0^*$-module”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12, 3–15; Russian Math. (Iz. VUZ), 61:12 (2017), 1–12
15.
A. N. Abyzov, I. I. Mukhametgaliev, “On Some Matrix Analogs of the Little Fermat Theorem”, Mat. Zametki, 101:2 (2017), 163–168; Math. Notes, 101:2 (2017), 187–192
A. N. Abyzov, T. C. Quynh, D. D. Tai, “Dual automorphism-invariant modules over perfect rings”, Sibirsk. Mat. Zh., 58:5 (2017), 959–971; Siberian Math. J., 58:5 (2017), 743–751
A. N. Abyzov, A. A. Tuganbaev, “Formal matrices and rings close to regular”, Fundam. Prikl. Mat., 21:1 (2016), 5–21; J. Math. Sci., 233:5 (2018), 604–615
2015
18.
A. N. Abyzov, “Rings of formal matrices close to regular ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 57–60; Russian Math. (Iz. VUZ), 59:10 (2015), 49–52
A. N. Abyzov, D. T. Tapkin, “On certain classes of rings of formal matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 3–14; Russian Math. (Iz. VUZ), 59:3 (2015), 1–12
A. N. Abyzov, D. T. Tapkin, “Formal matrix rings and their isomorphisms”, Sibirsk. Mat. Zh., 56:6 (2015), 1199–1214; Siberian Math. J., 56:6 (2015), 955–967
A. N. Abyzov, A. A. Tuganbaev, “Modules in which sums or intersections of two direct summands are direct summands”, Fundam. Prikl. Mat., 19:1 (2014), 3–11; J. Math. Sci., 211:3 (2015), 297–303
A. N. Abyzov, A. A. Tuganbaev, “Homomorphisms close to regular and their applications”, Fundam. Prikl. Mat., 16:7 (2010), 3–38; J. Math. Sci., 183:3 (2012), 275–298
A. N. Abyzov, A. A. Tuganbaev, “Rings over which all modules are $I_0$-modules. II”, Fundam. Prikl. Mat., 14:2 (2008), 3–12; J. Math. Sci., 162:5 (2009), 587–593
A. N. Abyzov, “Closure of weakly regular modules with respect to direct sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 9, 3–5; Russian Math. (Iz. VUZ), 47:9 (2003), 1–3
A. N. Abyzov, “1-strictly weakly regular modules and rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7, 3–7; Russian Math. (Iz. VUZ), 47:7 (2003), 1–5
2024
38.
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)”, Uspekhi Mat. Nauk, 79:2(476) (2024), 189–193; Russian Math. Surveys, 79:2 (2024), 369–373
2012
39.
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, 154:2 (2012), 44–59