Some Types of LCA Groups with Local Ring of Continuous Endomorphisms [Articol]

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2024

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Abstract

We describe the structure of some locally compact abelian (LCA) groups whose ring of continuous endomorphisms is local.

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The Institutional Research Program of the Moldova State University for 2024–2027 years, subprogram 011303 has supported part of the research for this paper.

Keywords

LCA groups, rings of continuous endomorphismsof LCA groups, local rings, topologically indecomposable groups, purely topologically indecomposable groups, co-purely topologically indecomposable groups, LCA groups with finite exchangeproperty

Citation

POPA, Valeriu. Some Types of LCA Groups with Local Ring of Continuous Endomorphisms. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 114-117. ISBN 978-9975-68-515-3.

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