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IMI/Publicaţii/BASM/Ediţii/BASM n.2(84), 2017/

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

Authors: Popa Valeriu

Abstract

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.

Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD-2028, Chisinau
Moldova
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