Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 88–111 (Mi basm445)  
Research articles

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

Valeriu Popa

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Academiei str. 5, MD-2028, Chişinău, Moldova
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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.
Keywords and phrases: LCA groups, rings of continuous endomorphisms, DCC.
Received: 25.05.2017
Bibliographic databases:
Document Type: Article
MSC: Primary 22B05; Secondary 16W80
Language: English
Citation: Valeriu Popa, “On LCA groups whose ring of continuous endomorphisms satisfies $DCC$ on closed ideals”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 88–111
Citation in format AMSBIB
\Bibitem{Pop17}
\by Valeriu~Popa
\paper On LCA groups whose ring of continuous endomorphisms satisfies $DCC$ on closed ideals
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 2
\pages 88--111
\mathnet{http://mi.mathnet.ru/basm445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3723501}
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