On nil subsemigroups of rings with group identities

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

研究成果: 雜誌貢獻文章同行評審

3 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)347-352
頁數6
期刊Communications in Algebra
30
發行號1
DOIs
出版狀態已發佈 - 2002 一月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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