Finite basis problem for identities with involution
Rings and Algebras
2014-12-09 v2
Abstract
We consider associative algebras with involution over a field of characteristic zero. We proved that any algebra with involution satisfies the same identities with involution as the Grassmann envelope of some finite dimensional -graded algebra with graded involution. As a consequence we obtain the positive solution of the Specht problem for identities with involution: any associative algebra with involution over a field of characteristic zero has a finite basis of identities with involution. These results are analogs of theorems of A.R.Kemer for ordinary identities.
Cite
@article{arxiv.1410.2233,
title = {Finite basis problem for identities with involution},
author = {Irina Sviridova},
journal= {arXiv preprint arXiv:1410.2233},
year = {2014}
}