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Algebra i logika, 2017, Volume 56, Number 5, Pages 548–558
DOI: https://doi.org/10.17377/alglog.2017.56.502 (Mi al815) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

A. V. Kislitsinab

a Dostoevskii Omsk State University, pr. Mira 55-A, Omsk, 644077 Russia
b Altai State Pedagogical University, ul. Molodezhnaya 55, Barnaul, 656031 Russia
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DOI: https://doi.org/10.17377/alglog.2017.56.502
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.
Funding agency Grant number
Russian Science Foundation 16-11-10002
Supported by Russian Science Foundation, project No. 16-11-10002.
Received: 02.08.2016
Revised: 05.10.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 5, Pages 362–369
DOI: https://doi.org/10.1007/s10469-017-9458-1
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
Citation: A. V. Kislitsin, “The Specht property of $L$-varieties of vector spaces”, Algebra Logika, 56:5 (2017), 548–558; Algebra and Logic, 56:5 (2017), 362–369
Citation in format AMSBIB
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\paper The Specht property of $L$-varieties of vector spaces
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\issue 5
\pages 548--558
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\jour Algebra and Logic
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\pages 362--369
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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