The Specht Property of L-Varieties of Vector Spaces
- Authors: Kislitsin A.V.1,2
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Affiliations:
- Dostoevskii Omsk State University
- Altai State Pedagogical University
- Issue: Vol 56, No 5 (2017)
- Pages: 362-369
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234053
- DOI: https://doi.org/10.1007/s10469-017-9458-1
- ID: 234053
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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.
About the authors
A. V. Kislitsin
Dostoevskii Omsk State University; Altai State Pedagogical University
Author for correspondence.
Email: kislitsin@altspu.ru
Russian Federation, pr. Mira 55-A, Omsk, 644077; ul. Molodezhnaya 55, Barnaul, 656031
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