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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 82, Issue 1, Pages 108–117 (Mi mzm3758)

This article is cited in 6 papers

The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra

S. M. Ratseev

Ulyanovsk State University

Abstract: It is proved that the exponents of certain varieties of Leibniz algebras with nilpotent commutator subalgebras exist and are integer.

Keywords: Leibniz algebra, growth of a variety, exponent of a variety, Young diagram, colength of a variety, partition of an integer.

UDC: 512.572

Received: 28.10.2005

DOI: 10.4213/mzm3758


 English version:
Mathematical Notes, 2007, 82:1, 96–103

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