Group identities and prime rings generated by units
Resource
Communications in Algebra 31 (1): 3305-3309
Journal
Communications in Algebra
Journal Volume
31
Journal Issue
7
Pages
3305-3309
Date Issued
2003
Author(s)
Liu, C.-H.
Abstract
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. Key Words: Group identitiesUnitsPrime ringsGeneralized polynomial identities2000 Mathematics Subject Classification: 16U6016N60 Acknowledgments The work was partially supported by NSC. The second author thanks National Sun Yat-sen University. Part of the research was done there.
Type
journal article
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