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MATHEMATICS

On bracket Lie of endomorphisms of abelian groups

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: Abelian groups, in which square of any commutator (on the other – bracket Lie) of endomorphisms is a zero is considered. The groups with specified above property in row of the classes of the groups is described.

Keywords: fully invariant subgroup, endomorphism ring, bracket Lie of endomorphisms.

UDC: 512.541


Accepted: February 7, 2009