Research articles

On LCA groups with locally compact rings of continuous endomorphisms. II

Valeriu Popa

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

Abstract: For certain classes $\mathcal S$ of locally compact abelian groups, we determine the groups $X\in\mathcal S$ with the property that the ring $E(X)$ of continuous endomorphisms of $X$ is locally compact in the compact-open topology.

Keywords and phrases: LCA groups, rings of continuous endomorphisms, compact-open topology.

MSC: 16W80

Received: 12.06.2015

Language: English