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Colocalizations and dualities for modules and Abelian groups

✍ Scribed by P. A. Krylov, A. A. Tuganbaev


Book ID
113072868
Publisher
Springer US
Year
2012
Tongue
English
Weight
223 KB
Volume
183
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


Abelian Groups and Regular Modules
✍ P. A. Krylov; E. G. Pakhomova πŸ“‚ Article πŸ“… 2001 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 166 KB
Slenderness, Completions, and Duality fo
✍ Patrick Keef πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 191 KB

If A is a fixed abelian group with endomorphism ring E, then for any group G, Ε½ . Ε½ . let G\* s Hom G, A and for any E-module M, let M\* s Hom M, A . The E evaluation map : G Βͺ G\*\* is defined in the usual way and G is A-reflexive if G is an isomorphism. This is strongly related to the question of

Pontryagin duality for topological Abeli
✍ Salvador HernΓ‘ndez πŸ“‚ Article πŸ“… 2001 πŸ› Springer-Verlag 🌐 French βš– 119 KB

A topological Abelian group G is Pontryagin reflexive, or Preflexive for short, if the natural homomorphism of G to its bidual group is a topological isomorphism. We look at the question, set by Kaplan in 1948, of characterizing the topological Abelian groups that are P-reflexive. Thus, we find some