A. R. Chekhlov, Ml. V. Agafontseva, “On abelian groups with central squares of commutators of endomorphisms”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, Number 4(24),Pages <nobr>54

MATHEMATICS

On abelian groups with central squares of commutators of endomorphisms

A. R. Chekhlov, Ml. V. Agafontseva

Tomsk State University

Abstract: We describe divisible, completely decomposable, vector, and separable torsion free groups for which the squares of commutators of their endomorphisms are central in endomorphism rings of these groups.

Keywords: endomorphism ring, commutator of endomorphisms, $E$-commutant.

UDC: 512.541

Received: 15.04.2013