On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
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2017-11-20 13:59
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512.533.2+512.541.5+515.12 (1)
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POPA, Valeriu. On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 88-111. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals

CZU: 512.533.2+512.541.5+515.12
MSC 2010: 22B05, 16W80

Pag. 88-111

Popa Valeriu
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 noiembrie 2017


Rezumat

We determine the structure of LCA (locally compact abelian) groups X with the property that the ring E(X) of continuous endomorphisms of X, taken with the compact-open topology, satisfies DCC (descending chain condition) on different types of closed ideals.

Cuvinte-cheie
LCA groups, rings of continuous endomorphisms,

DCC

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