The Specht Property of L-Varieties of Vector Spaces Over an Arbitrary Field


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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.

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A. Kislitsin

Dostoevskii Omsk State University; Altai State Pedagogical University

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Email: kislitsin@altspu.ru
俄罗斯联邦, pr. Mira 55-A, Omsk, 644077; ul. Molodezhnaya 55, Barnaul, 656031

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