Group identities and prime rings generated by units

Tsiu Kwen Lee, Chia Hsin Liu

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)3305-3309
頁數5
期刊Communications in Algebra
31
發行號7
DOIs
出版狀態已發佈 - 2003 七月

ASJC Scopus subject areas

  • Algebra and Number Theory

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