On subnormal subgroups of skew fields

DOI10.1016/0021-8693(88)90295-5zbMath0645.16013OpenAlexW2045753673MaRDI QIDQ1103033

Leonid G. Makar-Limanov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90295-5

zbMATH Keywords

skew fieldgroup ringfree productsubnormal subgroupLaurent generalized polynomial identity

Mathematics Subject Classification ID

Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx) Rings with polynomial identity (16Rxx)

Related Items (8)

Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ On Free Subsemigroups of Skew Fields ⋮ On free group algebras in division rings with uncountable center ⋮ Generalized rational identities of subnormal subgroups of skew fields ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ Free products of units in algebras. I: Quaternion algebras ⋮ Unnamed Item ⋮ Identities on units of algebraic algebras

Cites Work

• Are there free groups in division rings?
• The diamond lemma for ring theory
• Prime rings satisfying a generalized polynomial identity
• On the Multiplicative Group of a Division Ring
• Generalized Polynomial Identities and Pivotal Monomials
• A Generalization of the Cartan-Brauer-Hua Theorem
• A generalization of a theorem on linear differential equations
• The Theory of Simple Rings

This page was built for publication: On subnormal subgroups of skew fields