A. V. Kislitsin, “On nonnilpotent almost commutative <nobr>$L$</nobr>-varieties of vector spaces”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 3,Pages <nobr>580

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On nonnilpotent almost commutative $L$-varieties of vector spaces

A. V. Kislitsin^ab

^a Dostoevsky Omsk State University, Omsk, Russia
^b Altai State Pedagogical University, Barnaul, Russia

Abstract: We study almost commutative $L$-varieties of vector spaces. We describe nonnilpotent almost commutative $L$-varieties generated by an associative algebra, which is considered as a vector space.

Keywords: multiplicative vector pair, identity of a pair, variety of linear algebras, $L$-variety, almost commutative variety.

UDC: 512.552.4

MSC: 35R30

Received: 26.07.2017

DOI: 10.17377/smzh.2018.59.308