S. M. Ratseev, O. I. Cherevatenko, “Exponents of some varieties of Leibniz–Poisson algebras”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, Issue 3(104),Pages <nobr>42

This article is cited in 5 papers

Mathematics

Exponents of some varieties of Leibniz–Poisson algebras

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

^a Ulyanovsk State University, Ulyanovsk, 432017, Russian Federation
^b Ulyanovsk State Pedagogical University, Ulyanovsk, 432700, Russian Federation

Abstract: In the paper equivalent conditions for the estimation of growth of varieties of Leibniz–Poisson algebras with nilpotent commutant are received.

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

UDC: 512.572

Received: 22.03.2013
Revised: 22.03.2013