I. M. Isaev, “On the join of Cross varieties of algebras”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 2,Pages <nobr>1299

Mathematical logic, algebra and number theory

On the join of Cross varieties of algebras

I. M. Isaev

Altai State Pedagogical University, 55, Molodeznaya str., Barnaul, 656031, Russia

Abstract: We constructed the example of the join Cross varieties of algebras over a finite field which is not finitely based, but its proper subvarieties is finitely based.

Keywords: linear algebra, Cross variety, nonfinitely based variety of algebras.

UDC: 512.552.4, 512.554.1

MSC: 16R10, 17A30

Received July 22, 2021, published November 23, 2021

DOI: 10.33048/semi.2021.18.099