On mixed LCA groups with commutative rings of continuous endomorphisms
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2018-09-28 16:13
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POPA, Valeriu. On mixed LCA groups with commutative rings of continuous endomorphisms. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 3(55), pp. 73-90. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(55) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322

On mixed LCA groups with commutative rings of continuous endomorphisms

Pag. 73-90

Popa Valeriu
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

Let L be the class of locally compact abelian (LCA) groups. For X ∈ L, let E(X) denote the ring of continuous endomorphisms of X. In this paper, we determine for certain subclasses S of L the groups X ∈ S such that E(X) is commutative. The main results concern the case of mixed LCA groups.

Cuvinte-cheie
LCA groups,

ring of continuous endomorphisms, commutativity.