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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 3, Pages 91–107
(Mi basm295)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 19.09.2011
Citation:
Valeriu Popa, “On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 3, 91–107
Linking options:
https://www.mathnet.ru/eng/basm295 https://www.mathnet.ru/eng/basm/y2011/i3/p91
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Abstract page: | 243 | Full-text PDF : | 35 | References: | 29 | First page: | 1 |
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