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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011 Number 1(13), Pages 55–60 (Mi vtgu174)

This article is cited in 1 paper

MATHEMATICS

On the Lie bracket of endomorphisms of Abelian groups, 2

A. R. Chekhlov

Tomsk State University

Abstract: We consider Abelian groups in which a fixed degree of any commutator of endomorphisms is zero. Groups with this property are described in some classes of groups.

Keywords: fully invariant subgroup, endomorphism ring, power $E$-commutant, power $E$-commutator.

UDC: 512.541


Accepted: December 17, 2010



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