Finite algebras with no independent basis of identities
type: Item
instance of: scholarly article
title: Finite algebras with no independent basis of identities
zbMATH Open document ID: 0903.08014
author: I. M. Isaev
published in: Algebra Universalis
publication date: 1998-11-23T00:00:00Z
review text: For a finite field \(\Phi \), let \(\mathcal P\) be the variety of linear \(\Phi \)-algebras satisfying the identity \(x(yz)=0\). It was proved by \textit{S. V. Polin} [Sib. Mat. Zh. 17, No. 6, 1356-1366 (1976; Zbl 0353.17003)] that \(\mathcal P\) contains finite algebras without finite bases of identities. The author shows that there exist also finite algebras of \(\mathcal P\) with no independent basis for its identities.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08B99
Mathematics Subject Classification ID: 17A30
Mathematics Subject Classification ID: 08A45
zbMATH DE Number: 1226215
zbMATH Keywords: finite basis
zbMATH Keywords: independent basis
zbMATH Keywords: algebra over a finite field
MaRDI profile type: Publication
full work available at URL: s000120050028
OpenAlex ID: W2067021085
DOI: 10.1007/S000120050028
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description: scientific article; zbMATH DE number 1226215