Commutative Weakly Nil-Neat Group Rings
Commutative Algebra
2019-12-17 v1 Rings and Algebras
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.
Cite
@article{arxiv.1912.07132,
title = {Commutative Weakly Nil-Neat Group Rings},
author = {Peter Danchev and Mahdi Samiei},
journal= {arXiv preprint arXiv:1912.07132},
year = {2019}
}
Comments
8 pages