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On torsionfree LCA groups with commutative rings of continuous endomorphisms.
Authors: Valeriu Popa
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Abstract
Let L be the class of locally compact abelian (LCA) groups. For certain subclasses S of L, we obtain information about the groups X ∈ S such that the ring E(X) of continuous endomorphisms of X is commutative. The main results concern torsionfree groups, groups with splitting torsion subgroups and their duals.E-mail:
Fulltext
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Contents
- Properties of accessible subrings of topological rings when taking quotient rings.
- Identities with permutations associated with quasigroups isotopic to groups.
- On natural and conatural sets of left ideals of a ring.
- Locicaly separable algebras in varieties of algebras.
- On definitions of groupoids closely connected with quasigroups.
- Radicals of Morita rings revisited.
- Isomorphism of the factor powers of finite groups.
- On torsionfree LCA groups with commutative rings of continuous endomorphisms.
- Crossed-inverse-property groupoids.
- An abstract approach to the study of derivation mappings on non-commutative rings.
- Quasivarieties of Commutative Solvable Moufang loops.
- On description of some radical filters of noetherian rings.
