On Filtered Multiplicative Bases of Some Associative Algebras

V. Bovdi; A. Grishkov; S. Siciliano

doi:10.1007/s10468-014-9494-7

On Filtered Multiplicative Bases of Some Associative Algebras

V. Bovdi, A. Grishkov, S. Siciliano

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 A. These results are then applied to some classes of group algebras and restricted enveloping algebras.

Original language	English
Pages (from-to)	297-306
Number of pages	10
Journal	Algebras and Representation Theory
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s10468-014-9494-7
Publication status	Published - Apr 1 2015
Externally published	Yes

Keywords

Filtered multiplicative basis
Finite p-group
Restricted enveloping algebra

ASJC Scopus subject areas

General Mathematics

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10.1007/s10468-014-9494-7

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AB - 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 A. These results are then applied to some classes of group algebras and restricted enveloping algebras.

KW - Filtered multiplicative basis

KW - Finite p-group

KW - Restricted enveloping algebra

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On Filtered Multiplicative Bases of Some Associative Algebras

Abstract

Keywords

ASJC Scopus subject areas

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