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arXiv · 1912.07132

Commutative Weakly Nil-Neat Group Rings

Peter Danchev·Mahdi Samiei
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Abstract

Let R be a ring and let G be a group. We prove a rather curious necessary and sufficient condition for the commutative group ring RG to be weakly nil-neat only in terms of R,G and their sections. This somewhat expands three recent results, namely those established by McGovern et al. in (J. Algebra Appl., 2015), by Danchev-McGovern in (J. Algebra, 2015) and by the present authors in (J. Taibah Univ. Sci., 2020), related to commutative nil-clean, weakly nil-clean and nil-neat group rings, respectively.

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Peter Danchev, Mahdi Samiei. 2019-12-15. Commutative Weakly Nil-Neat Group Rings. https://arxiv.org/abs/1912.07132

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