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The Specht Property of L-Varieties of Vector Spaces

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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,… Click to show full 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: vector spaces; property varieties; specht property; property; varieties vector

Journal Title: Algebra and Logic
Year Published: 2017

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