Group Identities and Prime Rings Generated by Units

DOI10.1081/AGB-120022227zbMath1038.16019WikidataQ57788296 ScholiaQ57788296MaRDI QIDQ4414330

Chia-Hsin Liu, Tsiu-Kwen Lee

Publication date: 24 July 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

polynomial identitiesunit groupprime ringgroup identities

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Nilpotent maximal subgroups of \(\text{GL}_n(D)\). ⋮ On group identities for the unit group of algebras and semigroup algebras over an infinite field. ⋮ SOLUBLE MAXIMAL SUBGROUPS IN GL_n(D)

Cites Work

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• Symmetric units and group identities
• On rings with central polynomials
• Prime rings satisfying a generalized polynomial identity
• Group algebras with units satisfying a group identity
• Group algebras whose units satisfy a group identity
• Prime rings whose units satisfy a group identity
• ON NIL SUBSEMIGROUPS OF RINGS WITH GROUP IDENTITIES
• Left Annihilators Characterized by GPIS

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