[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170308

NIL-CLEAN RINGS OF NILPOTENCY INDEX AT MOST TWO WITH APPLICATION TO INVOLUTION-CLEAN RINGS

Li, Yu (School of Mathematics and Statistics Southwest University)
Quan, Xiaoshan (School of Mathematics and Statistics Guangxi Teachers Education University)
Xia, Guoli (Department of Mathematics and Statistics Memorial University of Newfoundland)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 751-757 More about this Journal

Abstract

A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most 2 is obtained, and is applied to improve a known result on involution-clean rings.

Keywords

idempotent; nilpotent; involution; nil-clean ring of nilpotency index at most 2; involution-clean ring;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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