A. S. Zakharov, “Simple Novikov–Poisson algebras”, Sib. Èlektron. Mat. Izv., 2023, Volume 20, Issue 2,Pages <nobr>1396

Mathematical logic, algebra and number theory

Simple Novikov–Poisson algebras

A. S. Zakharov^abc

^a Novosibirsk State Technical University, 20, K. Marksa pr., Novosibirsk, 630073, Russia
^b Sobolev Institute of Mathematics SB RAS 4, Acad. Koptyug pr., Novosibirsk, 630090, Russia
^c Novosibirsk State University 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: We proved if $A$ is a simple Novikov — Poisson (super)algebra then their Novikov part is a simple algebra when field characteristic is not 2. Also we obtained all finite dimension simple Novikov — Poisson algebras over a field of characteristic not $2$.

Keywords: Novikov (super)algebra, Novikov — Poisson (super)algebra, differential algebra, commutative algebra, simple algebra.

UDC: 512.554

MSC: 17A70

Received August 10, 2023, published December 6, 2023

DOI: doi.org/10.33048/semi.2023.20.085