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

5 Feb 2021  ·  Claudenir Freire Rodrigues ·

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. read more

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Rings and Algebras