Commutative weakly nil clean unital rings

By Peter Danchev, Warren Wm. McGovern. 2015

80 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7aa947f623a30b48ceff85b8a2a2949776d5734a

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In Algebra and Number Theory

1. Peter Danchev
2. Yiqiang Zhou
3. Simion Breaz

In Geometry and Topology

1. Yiqiang Zhou
2. Peter Danchev
3. Simion Breaz

Citations in the corpus

• Rings in which every element is either a sum or a difference of a nilpotent and an idempotent (2014, background): “d, one can deduce the following analogue of Proposition 4. Corollary 15. A ring R is uniquely nil-clean if and only if R is uniquely weakly nil-clean and 2 ∈ J(R). As aforementioned, it was proved in [8] that a commutative weakly nil-clean ring is clean. Here we shall extend this to abelian rings in”