The next meeting of the Algebra and Logic Seminar will take place on June 19, 2026 (Friday) at 1:00 pm (UTC+3) in Room 578 and online via Zoom.

A talk on:

Varieties of left-commutative algebras

will be delivered by

Bekzat Zhakhayev (SDU University and Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan).

(joint work with V. Drensky and V. Dotsenko)

Abstract. An algebra A = (A, ・) is called a left-commutative algebra if it satisfies the identity
a ・ (b ・ c) − b ・ (a ・ c) = 0
for all elements a, b, c ∈ A.
We consider two subvarieties of the variety of left-commutative algebras, namely the varieties of Novikov algebras and bicommutative algebras. In 1976 Bokut formulated the following question: to describe, in terms of identities, varieties of rings (or algebras) whose lattice of subvarieties is distributive. In this work we investigate Bokut’s question for the variety of Novikov algebras and the variety of bicommutative algebras.

Everybody is invited.

Algebra and Logic Department, IMI – BAS
http://www.math.bas.bg/algebra/seminarAiL/
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