Algebraic endomorphisms of LCA-groups that preserve closed subgroups (Q1196146)
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scientific article; zbMATH DE number 70185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic endomorphisms of LCA-groups that preserve closed subgroups |
scientific article; zbMATH DE number 70185 |
Statements
Algebraic endomorphisms of LCA-groups that preserve closed subgroups (English)
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12 November 1992
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The structure of the topological group \(K(G)\) of all (not necessarily continuous) endomorphisms \(\varepsilon\) of an LCA-group \(G\) is described with \(\varepsilon(H) \subseteq H\) for each closed subgroup \(H\) from \(G\) (\(K(G)\) is supplied with pointwise convergence and addition). The group of all automorphisms fixing all closed subgroups from \(G\) was studied by the reviewer (1975).
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group of automorphisms
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endomorphisms
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LCA-group
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closed subgroups
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