In this paper we carry out a systematic study of various ring theoretic properties of formal
triangular matrix rings. Some definitive results are obtained on these rings concerning …

Fixed rings of simple rings Page 1 COMMUNICATIONS IN ALGEBRA, 6(17), 1741-1750 (1978)
FIXED RINGS OF SIMPLE RINGS James Osterburg Department of Mathematical Sciences …

A ring is called a commutator ring if every element is a sum of additive commutators. In this
note we give examples of such rings. In particular, we show that given any ring R, a right R …

Let be a commutative ring with identity and let be quasi-order relation on. Then will denote
the structural matrix algebra over. In this study, we show that, Theorem 4.1 of Benkovič …

The aim of this paper is to study idempotents and units in certain matrix rings over
polynomial rings. More precisely, the conditions under which an element in M_2(Z_px) for …

A 2-monomial matrix over a commutative ring $ R $ is by definition any matrix of the form $ M
(t, k, n)=\Phi\left (\begin {smallmatrix} I_k&0\\0&tI_ {nk}\end {smallmatrix}\right) $, $0< k< n …

Functional identities in upper triangular matrix rings - ScienceDirect Skip to main contentSkip
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In this paper, weak distinguished subcategory and distinguished subcategory of modules
are introduced. Left (right) local unital rings are particularly considered. Also, representable …

Circulant matrices over finite fields and over commutative finite chain rings have been of
interest due to their nice algebraic structures and wide applications. In many cases, such …

Abstract—In a paper published in 2008 PA Krylov showed that formal matrix rings Ks (R)
and Kt (R) are isomorphic if and only if the elements s and t differ up to an automorphism by …