On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I

Popa Valeriu

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2015-11-20 17:27

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POPA, Valeriu. On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I . In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 3(67), pp. 91-107. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 3(67) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322

On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I

Pag. 91-107

Popa Valeriu

Institute of Mathematics and Computer Science ASM

Disponibil în IBN: 7 decembrie 2013

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Rezumat

We describe the torsion, locally compact abelian (LCA) groups X for which the ring E(X) of continuous endomorphisms of X, endowed with the compact-open topology, has no more than two non-trivial closed ideals.

Cuvinte-cheie
LCA groups, rings of continuous endomorphisms,

compact- open topology, closed ideals.

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