On filtered multiplicative bases of some associative algebras
Rings and Algebras
2014-10-02 v2
Abstract
We deal with the existing problem of filtered multiplicative bases of finite-dimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by homomorphic images or by the associated graded algebra of . These results are then applied to some classes of group algebras and restricted enveloping algebras.
Keywords
Cite
@article{arxiv.1404.7202,
title = {On filtered multiplicative bases of some associative algebras},
author = {V. Bovdi and A. Grishkov and S. Siciliano},
journal= {arXiv preprint arXiv:1404.7202},
year = {2014}
}
Comments
10 pages