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Abyzov, Adel Nailevich
Associate professor
Candidate of physico-mathematical sciences (2005)
Speciality: 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

https://www.mathnet.ru/eng/person22133
https://scholar.google.com/citations?user=1FUPwmgAAAAJ&hl=en
https://mathscinet.ams.org/mathscinet/MRAuthorID/724411
https://elibrary.ru/author_items.asp?authorid=241791
https://orcid.org/0000-0002-9809-2091
https://www.researchgate.net/profile/Adel_Abyzov

Publications in Math-Net.Ru Citations
2025
1. 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  mathnet
2024
2. A. N. Abyzov, Bui Tien Dat, “Essentially quasi-injective modules and their direct sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 7,  9–23  mathnet; Russian Math. (Iz. VUZ), 68:7 (2024), 1–13 2
3. A. N. Abyzov, D. T. Tapkin, “Representability of matrices over commutative rings as sums of two potent matrices”, Sibirsk. Mat. Zh., 65:6 (2024),  1039–1060  mathnet; Siberian Math. J., 65:6 (2024), 1227–1245 2
2023
4. 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  mathnet; Russian Math. (Iz. VUZ), 67:12 (2023), 82–85 2
5. A. N. Abyzov, A. D. Maklakov, “Finite topologies and their applications in linear algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 1,  87–96  mathnet; Russian Math. (Iz. VUZ), 67:1 (2023), 74–81
2022
6. 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  mathnet; Russian Math. (Iz. VUZ), 66:3 (2022), 72–74 1
2021
7. 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  mathnet  elib; Siberian Math. J., 62:1 (2021), 1–13  isi  scopus 7
8. 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  mathnet 1
2020
9. 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  mathnet  elib; Siberian Math. J., 61:2 (2020), 187–198  isi  scopus
2019
10. 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  mathnet  mathscinet
11. 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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 256:3 (2021), 235–277 6
12. 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  mathnet  elib; Siberian Math. J., 60:6 (2019), 927–939  isi  scopus 8
13. A. N. Abyzov, “Strongly $q$-nil-clean rings”, Sibirsk. Mat. Zh., 60:2 (2019),  257–273  mathnet  elib; Siberian Math. J., 60:2 (2019), 197–208  isi  scopus 14
2018
14. 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  mathnet  mathscinet
15. A. N. Abyzov, “Almost Projective and Almost Injective Modules”, Mat. Zametki, 103:1 (2018),  3–19  mathnet  mathscinet  elib; Math. Notes, 103:1 (2018), 3–17  isi  scopus 4
2017
16. A. N. Abyzov, “Rings over which every module is an $I_0^*$-module”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12,  3–15  mathnet; Russian Math. (Iz. VUZ), 61:12 (2017), 1–12  isi  scopus
17. A. N. Abyzov, I. I. Mukhametgaliev, “On Some Matrix Analogs of the Little Fermat Theorem”, Mat. Zametki, 101:2 (2017),  163–168  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 187–192  isi  scopus 20
18. A. N. Abyzov, T. C. Quynh, D. D. Tai, “Dual automorphism-invariant modules over perfect rings”, Sibirsk. Mat. Zh., 58:5 (2017),  959–971  mathnet  elib; Siberian Math. J., 58:5 (2017), 743–751  isi  elib  scopus 14
2016
19. A. N. Abyzov, A. A. Tuganbaev, “Formal matrices and rings close to regular”, Fundam. Prikl. Mat., 21:1 (2016),  5–21  mathnet; J. Math. Sci., 233:5 (2018), 604–615  scopus
2015
20. A. N. Abyzov, “Rings of formal matrices close to regular ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10,  57–60  mathnet; Russian Math. (Iz. VUZ), 59:10 (2015), 49–52  scopus 2
21. A. N. Abyzov, D. T. Tapkin, “On certain classes of rings of formal matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3,  3–14  mathnet; Russian Math. (Iz. VUZ), 59:3 (2015), 1–12  scopus 12
22. A. N. Abyzov, D. T. Tapkin, “Formal matrix rings and their isomorphisms”, Sibirsk. Mat. Zh., 56:6 (2015),  1199–1214  mathnet  mathscinet  elib; Siberian Math. J., 56:6 (2015), 955–967  isi  scopus 15
2014
23. A. N. Abyzov, A. A. Tuganbaev, “Retractable and coretractable modules”, Fundam. Prikl. Mat., 19:2 (2014),  5–20  mathnet  mathscinet; J. Math. Sci., 213:2 (2016), 132–142  scopus 9
24. 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  mathnet  mathscinet; J. Math. Sci., 211:3 (2015), 297–303  scopus 7
25. A. N. Abyzov, “$I_0^*$-modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8,  3–17  mathnet; Russian Math. (Iz. VUZ), 58:8 (2014), 1–14  scopus 1
26. A. N. Abyzov, Tran Hoai Ngoc Nhan, “CS-Rickart modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5,  59–63  mathnet; Russian Math. (Iz. VUZ), 58:5 (2014), 48–52  scopus 3
2012
27. A. N. Abyzov, “Regular semiartinian rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1,  3–11  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:1 (2012), 1–8  scopus 2
28. A. N. Abyzov, “On some classes of semiartinian rings”, Sibirsk. Mat. Zh., 53:5 (2012),  955–966  mathnet  mathscinet; Siberian Math. J., 53:5 (2012), 763–771  isi  scopus 10
2011
29. A. N. Abyzov, “Generalized $SV$-rings of bounded index of nilpotency”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12,  3–14  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:12 (2011), 1–10  scopus 3
30. A. N. Abyzov, “Fully idempotent homomorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8,  3–8  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:8 (2011), 1–6  scopus 2
2010
31. A. N. Abyzov, A. A. Tuganbaev, “Homomorphisms close to regular and their applications”, Fundam. Prikl. Mat., 16:7 (2010),  3–38  mathnet  mathscinet; J. Math. Sci., 183:3 (2012), 275–298  scopus 6
2009
32. A. N. Abyzov, “Generalized $SV$-modules”, Sibirsk. Mat. Zh., 50:3 (2009),  481–488  mathnet  mathscinet; Siberian Math. J., 50:3 (2009), 379–384  isi  scopus 5
2008
33. A. N. Abyzov, A. A. Tuganbaev, “Submodules and direct summands”, Fundam. Prikl. Mat., 14:6 (2008),  3–31  mathnet  mathscinet; J. Math. Sci., 164:1 (2010), 1–20  scopus 2
34. A. N. Abyzov, A. A. Tuganbaev, “Rings over which all modules are $I_0$-modules. II”, Fundam. Prikl. Mat., 14:2 (2008),  3–12  mathnet  mathscinet  zmath; J. Math. Sci., 162:5 (2009), 587–593  scopus 6
35. A. N. Abyzov, “Weakly regular modules over normal rings”, Sibirsk. Mat. Zh., 49:4 (2008),  721–738  mathnet  mathscinet  zmath; Siberian Math. J., 49:4 (2008), 575–586  isi  scopus 13
2005
36. A. N. Abyzov, “Direct sums of weakly regular modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 2,  74  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:2 (2005), 71
2004
37. A. N. Abyzov, “Weakly regular modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 3,  3–6  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:3 (2004), 1–3 7
2003
38. A. N. Abyzov, “Closure of weakly regular modules with respect to direct sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 9,  3–5  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:9 (2003), 1–3 6
39. A. N. Abyzov, “1-strictly weakly regular modules and rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7,  3–7  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:7 (2003), 1–5
2024
40. 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  mathnet  mathscinet; Russian Math. Surveys, 79:2 (2024), 369–373  isi  scopus
2012
41. 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  mathnet

Presentations in Math-Net.Ru
1. Nikolai Grigorievich Chebotarev (1894-1947). To the 130th anniversary of his birth
A. N. Abyzov
Seminar on the History of Mathematics
June 6, 2024 18:00   

Organisations