A. P. Pozhidaev, “Simple Poisson–Farkas algebras and ternary Filippov algebras”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 6,Pages <nobr>1378

This article is cited in 1 paper

Simple Poisson–Farkas algebras and ternary Filippov algebras

A. P. Pozhidaev^ab

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We establish connection between the differentiably simple associative commutative algebras with unity and the simple Filippov algebras.

Keywords: Poisson algebra, Filippov algebra, Farkas (super)algebra, differentiably simple algebra.

UDC: 512.57

MSC: 35R30

Received: 27.04.2017

DOI: 10.17377/smzh.2017.58.616