Rings in which every unit is a sum of a nilpotent and an idempotent

DOI10.1090/CONM/715/14412zbMath1398.16034arXiv1710.02557OpenAlexW2963212468MaRDI QIDQ4961948

Yiqiang Zhou, Arezou Karimi Mansoub, Muhammet Tamer Koşan

Publication date: 29 October 2018

Published in: Advances in Rings and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02557

zbMATH Keywords

idempotentgroup ringunitnilpotentclean ringnil-clean ringstrongly nil-clean ringsemipotent ringUNC ringUU ring

Mathematics Subject Classification ID

Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Rings with fine idempotents ⋮ Generalizations of UU-rings, UJ-rings and UNJ-rings ⋮ Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings ⋮ UNJ-Rings ⋮ Some new characterizations of periodic rings ⋮ On the matrix which is the sum of a tripotent and a quasinilpotent matrices

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