2023
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Abyzov A.N, Maklakov A.D., Finite Topologies and Their Applications in Linear Algebra //Russian Mathematics. - 2023. - Vol.67, Is.1. - P.74-81.
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Abyzov A.N, Danchev P.V, Tapkin D.T., Rings with xn+ x or xn- x nilpotent//Journal of Algebra and its Applications. - 2023. - Vol. 22, Is. 1. - Art. №2350024.
2022
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Abyzov A.N, Quynh T.C, Trang D.T., Rings all of whose finitely generated ideals are automorphism-invariant//Journal of Algebra and its Applications. Vol. 21, No. 08, 2250159 (2022), DOI: 10.1142/S0219498822501596
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Abyzov A.N, Quynh T.C., On rings with cyclic almost-injective modules//Journal of Algebra and its Applications. Vol. 21, No. 09, 2250180 (2022), DOI: 10.1142/S0219498822501808
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Abyzov A.N, Yamaleev M.M., On Some Properties in Sequences of Traces of Powers of Matrices//Russian Mathematics. - 2022. - Vol.66, Is.3. - P.72-74.
- Abyzov AN, Tapkin DT, On rings with x(n) - x nilpotent//JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - 2022. - Vol.21, Is.6. - Art. №2250111.
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Abyzov A., Barati R, Mousavi A, Rings whose elements are sums of m-potents and nilpotents//Communications in Algebra. - 2022. - Vol. 50, Is. 10. - Pages 4437-4459.
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Abyzov A.N, Eryashkin M.S., Retractable and coretractable modules in Wisbauer category//Beitrage zur Algebra und Geometrie. - 63, pages 639–645 (2022)
2021
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Abyzov A.N., Quynh T.C, Tai D.D., Modules which are invariant under nilpotents of their envelopes and covers//Journal of Algebra and its Applications. Vol. 20, No. 12, 2150218 (2021) DOI: 10.1142/S0219498821502182
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Abyzov A.N., Quynh T.C, Dan P, Rings Characterized via Some Classes of Almost-Injective Modules//Bulletin of the Iranian Mathematical Society. - Volume 47, Issue 5. - 2021. - Pages 1571-1584
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Abyzov A.N, Tapkin D.T., Rings over Which Matrices Are Sums of Idempotent and q-Potent Matrices//Siberian Mathematical Journal. - 2021. - Vol.62, Is.1. - p. 1-13.
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Abyzov A.N, Tapkin D.T., Simple-Direct Modules Over Formal Matrix Rings//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.1. - p. 1-17.
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Abyzov AN, FAGNANO'S METHOD FOR SOLVING ALGEBRAIC EQUATIONS: ITS HISTORICAL OVERVIEW AND DEVELOPMENT//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2021. - Vol.163, Is.3-4. - P.304-348.
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Abyzov A.N, Quynh T.C, Tuganbaev A.A., Modules that are Invariant with Respect to Automorphisms and Idempotent Endomorphisms of Their Hulls and Covers//Journal of Mathematical Sciences (United States). - 2021. - Vol.256, Is.3. - P.235-277.
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Abyzov A.N, Tuganbaev A.A, Tapkin D.T, Direct Projective Modules, Direct Injective Modules, and their Generalizations//Journal of Mathematical Sciences (United States). - 2021. - Vol 258. - P. 250–264
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Abyzov A.N, Tapkin D.T., When is every matrix over a ring the sum of two tripotents?//Linear Algebra and Its Applications. - 2021. - Vol.630, Is. 1. - P.316-325.
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Abyzov A.N, Danchev P.V., Tapkin D.T., Rings with x^n- x or x^n+x nilpotent//Journal of Algebra and its Applications. - 2021. - Art. № 2350024, DOI:10.1142/S021949882350024X
Abyzov_JAA.pdf -
Abyzov A, Kosan T, Tapkin D.T., Quynh T.C, Semisimple-direct-injective modules//Hacettepe Journal of Mathematics and Statistics. - 2021. - Vol.50, Is.2. - P.516-525.
2020
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Abyzov A.N, Phan T.H, Truong C.Q., Rings Whose Every Right Ideal is a Finite Direct Sum of Automorphism-Invariant Right Ideals//Siberian Mathematical Journal. - 2020. - Vol.61, Is.2. - P.187-198.
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Abyzov A, Kosan M.T., Quynh T.C, On (weakly) co-Hopfian automorphism-invariant modules//Communications in Algebra. - 2020. - Vol. 48, Is. 7. - p. 2894-2904.
2019
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Quynh T.C, Abyzov A.N, Ha N.T.T, Modules close to the automorphism-invariant and coinvariant//Journal of Algebra and its Applications. - 2019. - Vol. 18, No. 12
F_S0219498819502359_stranicy_1.pdf -
Abyzov A.N. Strongly q-Nil-Clean Rings, Siberian Mathematical Journal, Volume 60, Issue 2, pp 197–208, 2019.
document.pdf
2018
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Abyzov A.N, Truong C.Q., Lifting of automorphisms of factor modules//Communications in Algebra. - 2018. - Vol.46, Is.11. - P.5073-5082.
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Abyzov A.N, Tuganbaev A.A., Formal Matrices and Rings Close to Regular//Journal of Mathematical Sciences (United States). - 2018. - Vol.233, Is.5. - P.604-615.
abyzov2018.pdf
2017
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Abyzov, A. N. Modules close to SSP- and SIP-modules / A. N. Abyzov, Tran Hoai Ngoc Nhan, Truong Cong Quynh // Lobachevskii Journal of Mathematics. - 2017. - Vol. 38. - № 1. - Р. 16–23.
Modules_Close_to_SSP__and_SIP_Modules.pdf -
Abyzov A.N, Mukhametgaliev I.I., On some matrix analogs of the little Fermat theorem//Mathematical Notes. - 2017. - Vol.101, Is.1-2. - P.187-192.
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Abyzov A.N, Nhan T.H.N, Quynh T.C., Modules close to SSP- and SIP-modules//Lobachevskii Journal of Mathematics. - 2017. - Vol.38, Is.1. - P.16-23.
2016
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A. N. Abyzov, T. C. Quynh, and T. H. N. Nhan, SSP rings and modules, Asian-European J. Math., 2016, Vol. 09, No. 1.
- Арсланов М.М. , Абызов А.Н. Алгебра в Казанском университете // Матер. Межд. конф. по алгебре, анализу и геометрии. - Казань: КПФУ, 2016. - С. 3-12.
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Abyzov A.N., Tuganbaev A.A., Retractable and Coretractable Modules, Journal of Mathematical Sciences. - 2016. - Volume 213. - Issue 2. - pp. 132-142
abyzov2016.pdf
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