Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2017; 32(1): 19-27

Online first article November 3, 2016      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c160054

Copyright © The Korean Mathematical Society.

Invo-clean unital rings

Peter V. Danchev

Plovdiv University

Abstract

We define and completely describe the structure of invo-clean rings having identity. We show that these rings are clean but not (weakly) nil-clean and thus they possess independent properties than these obtained by Diesl in \cite{Di} and by Breaz-Danchev-Zhou in \cite{BDZ}.

Keywords: clean rings, nil-clean rings, idempotents, nilpotents, units, involutions, invo-clean rings

MSC numbers: 16D60, 16U60

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