A. V. Kislitsin, “On almost Engel <nobr>$L$</nobr>-varieties of vector spaces”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 2,Pages <nobr>1705

Mathematical logic, algebra and number theory

On almost Engel $L$-varieties of vector spaces

A. V. Kislitsin^ab

^a Dostoevskii Omsk State University, 55-A, Mira ave., Omsk, 644077, Russia
^b Altai State Pedagogical University, 55, Molodezhnaya str., Barnaul, 656031, Russia

Abstract: In this paper we study almost Engel $L$-varieties of vector spaces. Almost Engel $L$-varieties generated by an associative algebra considered as a vector space are described.

Keywords: multiplicative vector pair, identity of pair, variety of linear algebra, $L$-variety, almost Engel variety.

UDC: 512.552.4

MSC: 16R10

Received December 22, 2021, published December 28, 2021

DOI: 10.33048/semi.2021.18.130