On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals.~I
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2011), pp. 91-107

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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.
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     author = {Valeriu Popa},
     title = {On {LCA} groups whose rings of continuous endomorphisms have at most two non-trivial closed {ideals.~I}},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {91--107},
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     number = {3},
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}
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Valeriu Popa. On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals.~I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2011), pp. 91-107. http://geodesic.mathdoc.fr/item/BASM_2011_3_a8/