In a recent paper, the first author introduced a general theory of corner rings in
noncommutative rings that generalized the classical theory of Peirce decompositions. This …

In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel
ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring …

We focus our attention on a ring property that nilpotents are contained in the Jacobson
radical. This property is satisfied by NI and left (right) quasi-duo rings. A ring is said to be NJ …

This paper is motivated by the results in [2],[10],[13] and [19]. We study some properties of
generalizations of commuta-tive rings and relations between them. We also show that for a …

In this paper, we show that if the ring of a Morita context (A, B, M, N, ψ, φ) with zero pairings
is a strongly π-regular ring of bounded index if and only if so are A and B. Furthermore, we …

A unital ring R is called SR1 if for any element a 2 R and any left ideal L of R, Ra+ L= R
implies a􀀀 u 2 L for some unit u in R. From this perspective, for some speci c set L (R) of left …

In this paper, we study rings whose simple right R-module are GP-injective. We prove that
ring whose simple right R-module is GP-injective it will be right-weakly regular ring. Also …

Throughout in this paper is associative ring with identity and all modules are unitary. For a
subset of, the left (right) annihilator of X in R is denoted by {} a XIf XrXl=)).()((, we usually …

In order to investigate the shape of graph of solutions to semi-linear elliptic differential
equations, one of useful way is to analyze the linearized operator which is understood to be …

In this paper, we study rings whose simple right R-module are GP-injective. We prove that
ring whose simple right R-module is GP-injective it will be right-weakly regular ring. Also …