n-Torsion Clean Rings

2018/01/12 by Danchev, Peter, Matczuk, Jerzy
#16D60 #16S34 #16U60 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1801.04182

Abstract

Let n be an arbitrary natural number. The class of (strongly) n-torsion clean rings is introduced and investigated. Abelian n-torsion clean rings are somewhat characterized and a complete characterization of strongly n-torsion clean rings is given in the case when n is odd. Some open questions are posed at the end.

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