A. V. Kislitsin, “The Specht property of <nobr>$L$</nobr>-varieties of vector spaces”, Algebra Logika, 2017, Volume 56, Number 5,Pages <nobr>548

This article is cited in 1 paper

The Specht property of $L$-varieties of vector spaces

A. V. Kislitsin^ab

^a Dostoevskii Omsk State University, pr. Mira 55-A, Omsk, 644077 Russia
^b Altai State Pedagogical University, ul. Molodezhnaya 55, Barnaul, 656031 Russia

Abstract: Conditions are explored which imply the finite basis property for identities of vector spaces embedded in associative algebras over an infinite field. An $L$-variety having no finite basis of identities, which is the join of two Spechtian $L$-varieties, is exemplified.

Keywords: identity of vector space, basis of identities, $L$-variety, Spechtian $L$-variety, locally Spechtian $L$-variety.

UDC: 512.552.4

Received: 02.08.2016
Revised: 05.10.2016

DOI: 10.17377/alglog.2017.56.502