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Algebra Logika, 2022 Volume 61, Number 4, Pages 461–468 (Mi al2722)

Minimal nonzero $L$-varieties of vector spaces over the field ${\mathbb Z}_2$

A. V. Kislitsinab

a Omsk State University
b Altai State Pedagogical University

Abstract: We provide a complete description of minimal nonzero $L$-varieties of multiplicative vector spaces over the field $\mathbb Z_2$.

Keywords: multiplicative vector space, identity of vector space, $L$-variety, minimal nonzero $L$-variety (atom).

UDC: 512.552.4

Received: 11.04.2022
Revised: 29.03.2023

DOI: 10.33048/alglog.2022.61.405



© Steklov Math. Inst. of RAS, 2024