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

2021/02/05 by Claudenir Freire Rodrigues, Rodrigues, Claudenir Freire
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2102.03386

Abstract

Let A be an algebra whose group of units U(A) satisfies a Laurent polynomial\nidentity (LPI). We establish conditions on these polynomials in such a way that\nnil-generated algebras and group algebras with torsion groups over infinite\nfields in characteristic p > 0 have nonmatrix identities. We also determine, in\nthe determine in the context of group algebras with arbitrary LPI for the group\nof units, the existence of polynomial identities.\n

Citations

• Group algebras whose units satisfy a Laurent polynomial identity
• A note on algebras with Laurent polynomial identity

Related

• Nil-generated algebras and group algebras whose units satisfy a Laurent polynomial identity
• A note on algebras with Laurent polynomial identity
• Group algebras whose units satisfy a Laurent polynomial identity
• Group algebras whose units satisfy a Laurent Polynomial Identity
• Algebras with Laurent polynomial identity