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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (54), 2007/

On torsionfree LCA groups with commutative rings of continuous endomorphisms.

Authors: Valeriu Popa

Abstract

Let L be the class of locally compact abelian (LCA) groups. For certain subclasses S of L, we obtain information about the groups X ∈ S such that the ring E(X) of continuous endomorphisms of X is commutative. The main results concern torsionfree groups, groups with splitting torsion subgroups and their duals.

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