The first section of this paper contains the definition and some properties of generalized
matrix rings. Stenstrom [9] and Sakano [6] computed the ma:~ imal ring of quotients of a …

Automorphism groups of formal matrix algebras with zero trace ideals are studied. Such an
algebra is represented as a splitting extension of some ring by some nilpotent ideal. Using …

SIMPLE MODULES OVER GENERALIZED MATRIX RINGS E. Yu. Yardykov UDC 512.553
Page 1 Journal of Mathematical Sciences, Vol. 154, No. 3, 2008 SIMPLE MODULES OVER …

Let V n (R n) be the universal ring with respect to embeddings of the matrix ring R n into n× n
matrix rings over commutative rings. A construction and a representation is given for this …

On Certain Classes of Rings of Formal Matrices Page 1 ISSN 1066-369X, Russian Mathematics
(Iz. VUZ), 2015, Vol. 59, No. 3, pp. 1–12. c © Allerton Press, Inc., 2015. Original Russian Text c © …

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 …

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 …

An element of the form [a, b, c]= abc− cba in a ring is called a generalized commutator. In
this article, we show that, in a matrix ring 𝕄 n (S)(n≥ 2) over any ring S (with identity), every …

The group [K.sub.0] of a generalized matrix ring - Document - Gale Academic OneFile Use this
link to get back to this page. Copy Skip to Content Library Menu: Google Scholar Discovery …