The Journal of the Indian Mathematical Society

On Wnil-Injectivity


Affiliations

  • Karnatak University, Department of Mathematics, Dharwad, 580003, India

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.

Keywords

Nil Regular Ring, Wnil-Injectivity.

Subject Discipline

Mathematical Sciences

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References

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