Geodesic
Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
Algebra i logika, Tome 52 (2013) no. 4, pp. 435-460.

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Identities in vector spaces embedded in linear algebras are considered. Issues in finite basicity of identities for vector spaces, as well as for finitedimensional linear (nonassociative) algebras, are investigated. Essentially infinitely based and strongly infinitely based vector spaces and nonassociative linear algebras are exemplified.
Keywords: identity in algebra, identity in vector space, basis of identities, essentially infinite basicity, strongly infinite basicity. 
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I. M. Isaev; A. V. Kislitsin. Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities. Algebra i logika, Tome 52 (2013) no. 4, pp. 435-460. http://geodesic.mathdoc.fr/item/AL_2013_52_4_a2/

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