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On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
Authors: Popa Valeriu
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Abstract
We determine the structure of LCA (locally compact abelian) groups $X$ with the property that the ring $E(X)$ of continuous endomorphisms of $X,$ taken with the compact-open topology, satisfies \(DCC\) (descending chain condition) on different types of closed ideals.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD-2028, Chisinau
Moldova
E-mail:
Academy of Sciences of Moldova
Academiei str. 5, MD-2028, Chisinau
Moldova
E-mail:
Fulltext
– 0.23 Mb
Contents
- Vladimir A. Andrunachievici (1917 - 1997)
- Early History of the Theory of Rings in Novosibirsk
- Pretorsions in modules and associated closure operators
- Properties of accessible subrings of pseudonormed rings when taking quotient rings
- Radicals and generalizations of derivations
- Some examples of topological modules
- Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- On the inverse operations in the class of preradicals of a module category, II
- On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
- The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
