On nil subsemigroups of rings with group identities

K. I. Beidar, Wen Fong Ke, Chia-Hsin Liu

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.

Original languageEnglish
Pages (from-to)347-352
Number of pages6
JournalCommunications in Algebra
Volume30
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1

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  • Algebra and Number Theory

Cite this

On nil subsemigroups of rings with group identities. / Beidar, K. I.; Ke, Wen Fong; Liu, Chia-Hsin.

In: Communications in Algebra, Vol. 30, No. 1, 01.01.2002, p. 347-352.

Research output: Contribution to journalArticle

Beidar, K. I. ; Ke, Wen Fong ; Liu, Chia-Hsin. / On nil subsemigroups of rings with group identities. In: Communications in Algebra. 2002 ; Vol. 30, No. 1. pp. 347-352.
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