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

ASJC Scopus subject areas

  • Algebra and Number Theory

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