On LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms
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POPA, Valeriu. On LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 1(53), pp. 83-94. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(53) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322

On LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms

Pag. 83-94

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


Rezumat

We describe here the locally compact abelian (LCA) groups all of whose closed polythetic, respectively, copolythetic subgroups have commutative rings of con- tinuous endomorphisms. We also determine the LCA groups all of whose polythetic, respectively, copolythetic quotients by closed subgroups have commutative rings of continuous endomorphisms.

Cuvinte-cheie
LCA groups,

ring of continuous endomorphisms, commu- tativity.