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


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.

Dublin Core Export

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<dc:creator>Popa, V.I.</dc:creator>
<dc:date>2011-07-04</dc:date>
<dc:description xml:lang='en'>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.
</dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 67 (3) 91-107</dc:source>
<dc:subject>LCA groups</dc:subject>
<dc:subject>rings of continuous endomorphisms</dc:subject>
<dc:subject>compact-
open topology</dc:subject>
<dc:subject>closed ideals.</dc:subject>
<dc:title>On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I
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