A note on algebras with Laurent polynomial identity

2025/12/22 by Claudenir Freire Rodrigues
Mathematics · Engineering · #Finite Group Theory Research #Advanced Topics in Algebra #graph theory and CDMA systems

paper · doi:10.1080/00927872.2025.2595542

Abstract

In this article, we extend some classical results concerning algebras A whose group of units U(A) satisfies a special kind of polynomial identity, a Laurent polynomial identity, rather than standard group identities. The main goal of this note is the characterization of group algebras whose units satisfy Laurent identities.

Citations

• Group algebras whose units satisfy a Laurent polynomial identity

Cited by

• Nil-generated algebras and group algebras whose units satify a Laurent\n polynomial identity

Related

• Algebras with Laurent polynomial identity
• A note in algebras with Laurent polynomial identity
• Nil-generated algebras and group algebras whose units satisfy a Laurent polynomial identity
• Nil-generated algebras and group algebras whose units satify a Laurent\n polynomial identity
• Group algebras whose units satisfy a Laurent polynomial identity