This article is cited in 2 papers

On LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms

Valeriu Popa

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

Abstract: We describe here the locally compact abelian (LCA) groups all of whose closed polythetic, respectively, copolythetic subgroups have commutative rings of continuous endomorphisms. We also determine the LCA groups all of whose polythetic, respectively, copolythetic quotients by closed subgroups have commutative rings of continuous endomorphisms.

Keywords and phrases: LCA groups, ring of continuous endomorphisms, commutativity.

MSC: Primary 22B05; Secondary 16W80

Received: 11.10.2006

Language: English

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