Unitary Units Satisfying a Group Identity

DOI10.1080/00927870802210605zbMath1177.16025OpenAlexW2081918606MaRDI QIDQ3638428

Ann Dooms, Osnel Broche, Manuel Ruiz Marin

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802210605

zbMATH Keywords

group algebrasinvolutionsgroup ringslocally finite groupspolynomial identitiesunit groupsunitary unitsgroup identities

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Group rings whose unitary units are nilpotent. ⋮ Bounded Engel and solvable unitary units in group rings ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

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• Symmetric units satisfying a group identity.
• Symmetric units and group identities
• Group identities on units of rings
• Unitary units and skew elements in group algebras.
• On group identities for the unit group of algebras and semigroup algebras over an infinite field.
• Identities in rings with involutions
• UNITARY UNITS IN INTEGRAL GROUP RINGS
• 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
• FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION
• Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring
• On the Group Ring
• Unitary units in group algebras

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