S. M. Ratseev, O. I. Cherevatenko, “On some varieties of Leibniz–Poisson algebras with extreme properties”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, Number 2(22),Pages <nobr>57

This article is cited in 2 papers

MATHEMATICS

On some varieties of Leibniz–Poisson algebras with extreme properties

S. M. Ratseev^a, O. I. Cherevatenko^b

^a Ulyanovsk State University
^b Ulyanovsk State I. N. Ulyanov Pedagogical University

Abstract: Some varieties of Leibniz–Poisson algebras with extreme properties are presented. We give the least variety of Leibniz–Poisson algebras in which no Leibniz standard identities are valid.

Keywords: Poisson algebra, Leibniz–Poisson algebra, variety of algebras, growth of a variety.

UDC: 512.572

Received: 21.10.2012