ON NIL SUBSEMIGROUPS OF RINGS WITH GROUP IDENTITIES

DOI10.1081/AGB-120006495zbMath1044.16018MaRDI QIDQ4531150

Wen-Fong Ke, Chia-Hsin Liu, Kostia I. Beidar

Publication date: 4 August 2002

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

zbMATH Keywords

unit groupsnilpotent radicalgroup identitiesnil subsemigroups

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Group identities on the units of algebraic algebras with applications to restricted enveloping algebras. ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ On group identities for the unit group of algebras and semigroup algebras over an infinite field. ⋮ Group Identities and Prime Rings Generated by Units

Cites Work

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• Semiprime rings with bounded indices of nilpotent elements
• Rational relations and rational identities in division rings. I
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• Some properties on rings with units satisfying a group identity
• Group identities on units of group algebras
• Rational identities and applications to algebra and geometry
• Group algebras with units satisfying a group identity
• Group algebras with units satisfying a group identity II
• Group algebras whose units satisfy a group identity
• Group algebras whose units satisfy a group identity. II
• Group identities on units of locally finite algebras and twisted group algebras
• Nil Semi-Groups of Rings with a Polynomial Identity

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