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- Title
QUASI-ISOMORPHISMS AND GROUPS OF QUASI-HOMOMORPHISMS.
- Authors
ALBRECHT, ULRICH; BREAZ, SIMION
- Abstract
This paper investigates to which extent a self-small mixed Abelian group G of finite torsion-free rank is determined by the groups Hom(G,C) where C is chosen from a suitable class $\mathcal C$ of Abelian groups. We show that G is determined up to quasi-isomorphism if $\mathcal C$ is the class of all self-small mixed groups C with r0(C) ≤ r0(G). Several related results are given, and the dual problem of orthogonal classes is investigated.
- Subjects
ISOMORPHISM (Mathematics); GROUP theory; HOMOMORPHISMS; ABELIAN groups; MATHEMATICS
- Publication
Journal of Algebra & Its Applications, 2009, Vol 8, Issue 5, p617
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498809003539