On torsionfree LCA groups with commutative rings of continuous endomorphisms
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POPA, Valeriu. On torsionfree LCA groups with commutative rings of continuous endomorphisms. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 2(54), pp. 81-100. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(54) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322

On torsionfree LCA groups with commutative rings of continuous endomorphisms

Pag. 81-100

Popa Valeriu
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

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.

Cuvinte-cheie
LCA groups,

ring of continuous endomorphisms, commutativity