Title

A note on commutative weakly nil clean rings

Document Type

Article

Publication Date

12-1-2016

Publication Title

Journal of Algebra and its Applications

Volume

15

Keywords

Nil clean rings, tensor product of algebras, weakly nil clean rings

Abstract

© 2016 World Scientific Publishing Company. In this paper we discuss some properties of abelian (weakly) nil clean rings. We prove that any subring of an abelian (weakly) nil clean ring is (weakly) nil clean (Theorem 2). We also show that the tensor product of commutative (weakly) nil clean rings is also (weakly) nil clean and give sufficient conditions for the converse to be true (Theorems 3-6).

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