[PDF][PDF] Formal matrices and their determinants
PA Krylov, AA Tuganbaev - Journal of Mathematical Sciences, 2015 - researchgate.net
In the present paper, we study formal matrix rings over a given ring and determinants of such
matrices. In Secs. 1–4, some general properties of formal matrix rings are presented. In …
matrices. In Secs. 1–4, some general properties of formal matrix rings are presented. In …
[HTML][HTML] Formal Matrix Rings: Isomorphism Problem
P Krylov, A Tuganbaev - Mathematics, 2023 - mdpi.com
Mathematics | Free Full-Text | Formal Matrix Rings: Isomorphism Problem Next Article in Journal
Theory of Functional Connections Extended to Fractional Operators Next Article in Special Issue …
Theory of Functional Connections Extended to Fractional Operators Next Article in Special Issue …
A class of formal matrix rings
G Tang, Y Zhou - Linear Algebra and its Applications, 2013 - Elsevier
This paper concerns the formal matrix ring Mn (R; s) over a ring R defined by a central
element s in R. Various basic properties of these rings are established; the isomorphism …
element s in R. Various basic properties of these rings are established; the isomorphism …
[PDF][PDF] Modules over formal matrix rings
PA Krylov, AA Tuganbaev - J. Math. Sci, 2010 - academia.edu
This work contains some new and known results on modules over formal matrix rings. The
main results are presented with proofs. In ring theory, various matrix rings play an important …
main results are presented with proofs. In ring theory, various matrix rings play an important …
On the binary system of factors of formal matrix rings
W Chen, G Deng, H Su - Czechoslovak Mathematical Journal, 2020 - Springer
We investigate the formal matrix ring over R defined by a certain system of factors. We give a
method for constructing formal matrix rings from non-negative integer matrices. We also …
method for constructing formal matrix rings from non-negative integer matrices. We also …
On Some Class of Formal Matrix Ring
MF Nasrutdinov, SN Tronin - Lobachevskii Journal of Mathematics, 2022 - Springer
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[PDF][PDF] Formal matrix rings and their isomorphisms
FORMAL MATRIX RINGS AND THEIR ISOMORPHISMS Page 1 Siberian Mathematical
Journal, Vol. 56, No. 6, pp. 955–967, 2015 Original Russian Text Copyright c 2015 Abyzov AN …
Journal, Vol. 56, No. 6, pp. 955–967, 2015 Original Russian Text Copyright c 2015 Abyzov AN …
[图书][B] Formal matrices
P Krylov, A Tuganbaev - 2017 - Springer
Matrices play an important role in both pure and applied mathematics. Matrices with entries
in rings have been intensively studied and used (eg, see [22, 87]); as well as matrices with …
in rings have been intensively studied and used (eg, see [22, 87]); as well as matrices with …
Isomorphism of generalized matrix rings
PA Krylov - Algebra and Logic, 2008 - Springer
ISOMORPHISM OF GENERALIZED MATRIX RINGS PA Krylov Page 1 Algebra and Logic, Vol.
47, No. 4, 2008 ISOMORPHISM OF GENERALIZED MATRIX RINGS PA Krylov UDC 512.55 …
47, No. 4, 2008 ISOMORPHISM OF GENERALIZED MATRIX RINGS PA Krylov UDC 512.55 …
[HTML][HTML] Determinants of matrices over commutative finite principal ideal rings
P Choosuwan, S Jitman, P Udomkavanich - Finite Fields and Their …, 2017 - Elsevier
In this paper, the determinants of n× n matrices over commutative finite chain rings and over
commutative finite principal ideal rings are studied. The number of n× n matrices over a …
commutative finite principal ideal rings are studied. The number of n× n matrices over a …