In this study, the concept of m-projective modules is introduced. A right R-module M is said
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …

Let I be a right ideal of R, then R/I is a right N–flat if and only if for each a Î I, there exists b Î I
and a positive integer n such that an≠ 0 and an= ba n. In this paper, we first give and …

本文中的环均指有单位元的结合环. 环中的单位元记为1. 设R 是环, 记Z (R), N (R), E (R)
分别是R 的所有中心元, 幂零元, 幂等元的集合, P (R), J (R) 分别是R 的素根和(Jacobson) 根 …

Throughout this paper R denotes associative with identity and all modules are unitary. J (R)
and Z,(R) denote the Jacobson radical and the singular right ideal of R, respectively. A right …

We call a ring R NJ-semicommutative if wh∈ N (R) implies wRh⊆ J (R) for any w, h∈ R.
The class of NJ-semicommutative rings is large enough that it contains semicommutative …

For a unital ring, it is an open question whether flatness of simple modules implies all
modules are flat and thus the ring is von Neumann regular. The question was raised by …

This survey of the recent developments in the investigations of a Leavitt path algebra L of an
arbitrary graph E over a field K consists of two parts. In the first part describes how very often …

We investigate in this paper rings containing a finitely generated p-injective maximal left
ideal. We show that if R is a semiprime ring containing a finitely generated p-injective …