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arXiv · 2102.03386

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

Claudenir Freire Rodrigues
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Abstract

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

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Claudenir Freire Rodrigues. 2021-02-05. Nil-generated algebras and group algebras whose units satify a Laurent polynomial identity. https://arxiv.org/abs/2102.03386

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