On group identities for the unit group of algebras and semigroup algebras over an infinite field.

DOI10.1016/j.jalgebra.2004.07.033zbMath1070.16028OpenAlexW2027867130MaRDI QIDQ1764842

Stanley Orlando Juriaans, Ann Dooms, Eric Jespers

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.033

zbMATH Keywords

semigroup algebraspolynomial identitiesunit groupssemiprime algebrasgroup identitiesprincipal factorsHartley conjecturesemigroups generated by periodic elements

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ordinary and skew polynomial rings and semigroup rings (16S36) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Semigroup rings, multiplicative semigroups of rings (20M25) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Symmetric units satisfying a group identity. ⋮ Star-group identities and groups of units. ⋮ Hyperbolicity of semigroup algebras. ⋮ Group identities on the units of algebraic algebras with applications to restricted enveloping algebras. ⋮ Unitary Units Satisfying a Group Identity ⋮ Some algebraic algebras with Engel unit groups

Cites Work

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