The next meeting of the Algebra and Logic Seminar will be held on **June 16, 2023** (Friday) **at 1:00 pm (UTC+3)** online in Zoom.

A talk on:

**Polynomial identities in Novikov algebras**

will be delivered by **Nurlan Ismailov (Astana IT University and Suleyman Demirel University, Kaskelen, Kazakhstan)**

(Joint work with V. Dotsenko and U. Umirbaev)**.**

**Abstract.**The talk is devoted to Novikov algebras satisfying nontrivial identities. We show that a Novikov algebra over a field of zero characteristic that satisfies a nontrivial identity satisfies some unexpected “universal” identities, in particular, right associator nilpotence, and right nilpotence of the commutator ideal. This, in particular, implies that a Novikov algebra over a field of zero characteristic satisfies a nontrivial identity if and only if it is Lie-solvable. We also establish that any system of identities of Novikov algebras over a field of zero characteristic follows from finitely many of them, and that the same holds over any field for multilinear Novikov identities. Some analogous simpler statements are also proved for commutative differential algebras.

The seminar will be held online. Join the Zoom link:

https://us02web.zoom.us/j/

Topic: Онлайн семинар на секция “Алгебра и логика”

Time: Jun 16, 2023 01:00 PM Sofia

Meeting ID: 851 3737 5021

Passcode: 035647

Algebra and Logic Department, IMI – BAS

http://www.math.bas.bg/algebra/seminarAiL/

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