K. Morita has shown that, given two rings R and S, there is an isomorphism between the
category of left R-modules and the category of left S-modules if and only if there exists an RS …

If m∈ P where P is a pir (principal ideal ring), then P/{m} is a commutative ring with unit
element. The elements of this ring are designated by ā where a∈ P. The set of square …

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 …

Products of three triangular matrices over commutative rings Page 1 Linear Algebra and its
Applications 348 (2002) 1–6 www.elsevier.com/locate/laa Products of three triangular …

In this paper we characterize internally a TSA ring (ie a generalized triangular matrix ring
with simple Artinian rings on the diagonal) in terms of its prime ideals. Also we show that the …

In this paper, we introduce a new class of rings, the QB∞-rings. We investigate necessary
and sufficient conditions under which an exchange ring is a QB∞-ring. The modules over an …

For a fixed integer n≧ 1, and a given ring R there exists a homomorphism ρ; R→ M n (K), K
a commutative ring such that every homomorphism of R into an n× n matrix ring M n (H) over …

In this paper, we provide concrete constructions of idempotents to represent typical singular
matrices over a given ring as a product of idempotents and apply these factorizations for …

In this paper we study the ring-theoretic classification of intermediate rings, E αβ (R) of
infinite matrix rings, RCFM α (R)⊆ E αβ (R)⊆ RFM α (R), from Ornstein's dual pairs (see [D …

Functional identities in upper triangular matrix rings revisited Page 1 LINEAR AND
MULTILINEAR ALGEBRA 2019, VOL. 67, NO. 2, 348–359 https://doi.org/10.1080/03081087.2017.1418828 …