Let R be a commutative ring with identity and let M be an R-module. In this paper we
introduce a new graph associated to modules over commutative rings. We study the …

It is known that many special radicals R satisfy the matrix condition an arbitrary ring, but that
these radicals do not carry over from the base ring R to structural matrix rings in this natural …

It is known that structural matrix rings pro-vide a natural passage from complete matrix rings
to upper and lower triangular matrix rings, and they often explain the peculiarities regarding …

A Note on Subfields of Matrix Rings Page 1 A Note on Subfields of Matrix Rings Thomas J.
Laffey and Donald L. McQuillan Department of Mathematics University College Dublin 4 …

In this paper, we investigate some properties of modules constructed over the real plural
algebra A. We construct a module over the linear algebra of matrix Mmm (R) and we find …

A ring R is called semicommutative, if ab= 0 implies aRb= 0 for all a, b∈ R. It is well-known
that the n by n upper triangular matrix ring over any ring with identity is not semicommutative …

We first provide an example of a ring $ R $ such that all possible $2\times 2$ structural
matrix rings over $ R $ are isomorphic. However, we prove that the underlying graphs of any …

RADICALS OF STRUCTURAL MATRIX RINGS Page 1 Quaestiones Mathematicae - 13 (1990).
77-81 RADICALS OF STRIJ- MATRIX RINGS ADSands The concept of a structural matrix ring …

Throughout this paper we assume that every ring has an identity. A ring S is called left (right)-
injective if it is a left (right)-injective S-module. A ring is called injective if it is left-and right …

Recognition of matrix rings II Page 1 ISRAEL JOURNAL OF MATHEMATICS 96 (1996), 1-13
RECOGNITION OF MATRIX RINGS II BY G. AGNARSSON Department of Mathematics …