Group identities on units of locally finite algebras and twisted group algebras

DOI10.1080/00927870008827120zbMath0968.16010OpenAlexW2040868667MaRDI QIDQ4515489

Chia-Hsin Liu

Publication date: 10 January 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827120

zbMATH Keywords

twisted group algebraspolynomial identitiesunit groupsgroup identitieslocally finite algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Twisted and skew group rings, crossed products (16S35) Units, groups of units (associative rings and algebras) (16U60)

Related Items

The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series, Some combinatorial properties of the Hurwitz series ring, ON NIL SUBSEMIGROUPS OF RINGS WITH GROUP IDENTITIES, Polynomial rings over commutative reduced Hopfian local rings, INJECTIVITY OF MODULES OF GENERALIZED INVERSE POLYNOMIALS, On group identities for the unit group of algebras and semigroup algebras over an infinite field., Algebra. Transl. from the Russian, Co-Hopfian modules of generalized inverse polynomials, Notes on Generalized Hopfian and Weakly Co-Hopfian Modules, Triangular matrix representations of rings of generalized power series., Laurent series rings and pseudo-differential operator rings., Artinness of Generalized Macaulay–Northcott Modules, Algebras whose units satisfy a \(*\)-Laurent polynomial identity, Some algebraic algebras with Engel unit groups, Some properties on rings with units satisfying a group identity, Additive mappings and identities on unit groups of algebraic algebras, On units of twisted group algebras, Morita duality for the rings of generalized power series, Identities on units of algebraic algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Crossed products over prime rings
• Group identities on units of rings
• Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity
• Free Subgroups of Units in 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
• Radicals of Twisted Group Rings