Group identities and prime rings generated by units

Tsiu Kwen Lee; Chia Hsin Liu

doi:10.1081/AGB-120022227

Group identities and prime rings generated by units

Tsiu Kwen Lee, Chia Hsin Liu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3305-3309
Number of pages	5
Journal	Communications in Algebra
Volume	31
Issue number	7
DOIs	https://doi.org/10.1081/AGB-120022227
Publication status	Published - 2003 Jul 1

Keywords

Generalized polynomial identities
Group identities
Prime rings
Units

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1081/AGB-120022227

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