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This article is cited in 2 scientific papers (total in 2 papers)
The Specht property of $L$-varieties of vector spaces over an arbitrary field
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
Abstract:
We study the Specht property for $L$-varieties of vector spaces embedded in associative algebras over an arbitrary field. An $L$-variety with no finite basis of identities over a field, which is the join of two Spechtian $L$-varieties, is exemplified. A condition under which $L$-varieties will have the Specht property is found.
Keywords:
identity of vector space, basis of identities, $L$-variety, Spechtian $L$-variety.
Received: 02.08.2016 Revised: 20.03.2018
Citation:
A. V. Kislitsin, “The Specht property of $L$-varieties of vector spaces over an arbitrary field”, Algebra Logika, 57:5 (2018), 556–566; Algebra and Logic, 57:5 (2018), 360–367
Linking options:
https://www.mathnet.ru/eng/al866 https://www.mathnet.ru/eng/al/v57/i5/p556
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Abstract page: | 253 | Full-text PDF : | 32 | References: | 35 | First page: | 8 |
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