On nil subsemigroups of rings with group identities

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2002 Jan

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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