The Specht Property of L-Varieties of Vector Spaces


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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.

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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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