Department of Mathematics, Karnatak University, Dharwad-580003
,IN
Poonam M. Shanbhag
Department of Mathematics, Karnatak University, Dharwad-580003
,IN
Keywords:
Nil Regular Ring, Wnil-Injectivity.
Abstract
Let N(R) denote the set of nilpotent elements of a ring R. A ring R is said to be nil π-regular if for any a∈N(R) there exists n∈N and x∈R such that an an≠0 and an= anxan. In this paper we introduce nil π-regular rings as a proper generalization of nil regular rings (n-regular rings) and study their relations with wnil-injective rings.