On Some Class of Formal Matrix Ring | SpringerLink Skip to main content Advertisement
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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 …

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 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 …

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 …

GROTHENDIECK AND WHITEHEAD GROUPS OF FORMAL MATRIX RINGS PA Krylov and
AA Tuganbaev UDC 512.55 Page 1 Journal of Mathematical Sciences, Vol. 223, No. 5, June …

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 …

ISOMORPHISMS OF FORMAL MATRIX RINGS WITH ZERO TRACE IDEALS Page 1 Siberian
Mathematical Journal, vol. 59, no. 3, pp. 523–535, 2018 Original Russian Text Copyright c 2018 …

Let and be rings, and and bimodules. In the paper, in terms of isomorphisms of lattices,
relationships between the lattices of one-sided and two-sided ideals of the generalized …

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 …