Geodesic
The Specht property of $L$-varieties of vector spaces
Algebra i logika, Tome 56 (2017) no. 5, pp. 548-558

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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, which is the join of two Spechtian $L$-varieties, is exemplified.
Keywords: identity of vector space, basis of identities, $L$-variety, Spechtian $L$-variety, locally Spechtian $L$-variety. 
@article{AL_2017_56_5_a1,
     author = {A. V. Kislitsin},
     title = {The {Specht} property of $L$-varieties of vector spaces},
     journal = {Algebra i logika},
     pages = {548--558},
     publisher = {mathdoc},
     volume = {56},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_5_a1/}
}
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%J Algebra i logika
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A. V. Kislitsin. The Specht property of $L$-varieties of vector spaces. Algebra i logika, Tome 56 (2017) no. 5, pp. 548-558. http://geodesic.mathdoc.fr/item/AL_2017_56_5_a1/