Colocalizations and dualities for modules and Abelian groups
β 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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π SIMILAR VOLUMES
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
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