Group identities and prime rings generated by units

Tsiu Kwen Lee, Chia-Hsin Liu

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume31
Issue number7
DOIs
Publication statusPublished - 2003 Jul 1

Fingerprint

Matrix Ring
Group of Units
Prime Ring
Galois field
Unit

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Group identities and prime rings generated by units. / Lee, Tsiu Kwen; Liu, Chia-Hsin.

In: Communications in Algebra, Vol. 31, No. 7, 01.07.2003, p. 3305-3309.

Research output: Contribution to journalArticle

Lee, Tsiu Kwen ; Liu, Chia-Hsin. / Group identities and prime rings generated by units. In: Communications in Algebra. 2003 ; Vol. 31, No. 7. pp. 3305-3309.
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