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

Valeriu Popa

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova

Abstract: 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.

Keywords and phrases: LCA groups, rings of continuous endomorphisms, compact-open topology, closed ideals.

MSC: 16W80

Received: 19.09.2011

Language: English

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