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Claudenir Freire Rodrigues

Publications and source records attributed to Claudenir Freire Rodrigues.

3 recordsLinked to original sources
arXiv2021

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

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.

math.RA↗
arXiv2020

A note in algebras with Laurent polynomial identity

In this article, we extend some results about algebra $A$ with the group of units $U(A)$ having a special polynomial identity, Laurent polynomial. And we present a new version of B. Hartley Conjecture with these identities.

math.RA↗