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On the projective commutant of abelian groups

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics, Tomsk

Abstract: We describe the projective commutant and projective center of nonreduced groups and also of separable, vector, algebraically compact, and some other abelian groups.

Keywords: normal endomorphism ring, commutator of endomorphisms, fully invariant submodule, projectively nongenerating element, projectively semiprime submodule.

UDC: 512.541

Received: 05.04.2011

 English version: Siberian Mathematical Journal, 2012, 53:2, 361–370

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