Pro-torsion completions of abelian groups
โ Scribed by George Peschke; Peter Symonds
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 566 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If A is a fixed abelian group with endomorphism ring E, then for any group G, ลฝ . ลฝ . let G\* s Hom G, A and for any E-module M, let M\* s Hom M, A . The E evaluation map : G ยช 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
In this paper the classification of ABELian groups in terms of affine completeness initiated by LAUSH and NOBAUER in [2] and continued by N~BAUER in [3] and [4] is completed. ## 1. Preliminaries. The word "group" will mean, throughout the paper, "ABELian group". If X is a subset of a group A. then