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 …

Rings of Formal Matrices Close to Regular Page 1 ISSN 1066-369X, Russian Mathematics (Iz.
VUZ), 2015, Vol. 59, No. 10, pp. 49–52. c © Allerton Press, Inc., 2015. Original Russian Text …

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 …

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 …

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 …

FORMAL MATRICES AND RINGS CLOSE TO REGULAR AN Abyzov and AA Tuganbaev UDC
512.552 Page 1 Journal of Mathematical Sciences, Vol. 233, No. 5, September, 2018 …

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 …

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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 …

An important role in ring theory belongs to the formal (or generalized) matrix rings, or Morita
context rings, which extend the usual matrix rings. The triangular matrix rings stand out …