Group identities and prime rings generated by units

Tsiu Kwen Lee, Chia Hsin Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.

Original languageEnglish
Pages (from-to)3305-3309
Number of pages5
JournalCommunications in Algebra
Issue number7
Publication statusPublished - 2003 Jul


  • Generalized polynomial identities
  • Group identities
  • Prime rings
  • Units

ASJC Scopus subject areas

  • Algebra and Number Theory


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