On Wnil-Injectivity

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Authors

  • Department of Mathematics, Karnatak University, Dharwad-580003 ,IN
  • 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.