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 …

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 article concerns mainly on various ring properties of Morita contexts. Necessary and
sufficient conditions are obtained for a general Morita context or a trivial Morita context or a …

The notion of quasipolar elements of rings was introduced by Koliha and Patricio in 2002. In
this paper, we introduce the notion of quasipolar rings and relate it to other familiar notions …

In this paper we carry out a systematic study of modules over a formal triangular matrix ring
[Formula: see text] Using the alternative description of right T-modules as triples (X, Y) f with …

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 …

A module M is called (strongly) F I-extending if every fully invariant submodule of M is
essential in a (fully invariant) direct summand of M. A ring R with unity is called quasi-Baer if …

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 …

We say a ring with unity is right principally quasi-Baer (or simply, right pq-Baer) if the right
annihilator of a principal right ideal is generated (as a right ideal) by an idempotent. This …

A ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis
given by left multiplication by an element ofR. This is equivalent to saying thatlr (a)= Rafor …