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                                       Details for article 27 of 32 found articles
 
 
  Purity and Self-Small Groups
 
 
Title: Purity and Self-Small Groups
Author: Albrecht, Ulrich
Breaz, Simion
Wickless, William
Appeared in: Communications in algebra
Paging: Volume 35 (2007) nr. 11 pages 3789-3807
Year: 2007-11
Contents: Let A be an abelian group. A group B is A-solvable if the natural map Hom(A, B) ⊗ E(A)A → B is an isomorphism. We study pure subgroups of A-solvable groups for a self-small group A of finite torsion-free rank. Particular attention is given to the case that A is in G, the class of self-small mixed groups G with G/tG≅ n for some n < ω. We obtain a new characterization of the elements of G, and demonstrate that G differs in various ways from the class TF of torsion-free abelian groups of finite rank despite the fact that the quasi-category G is dual to a full subcategory of TF.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 27 of 32 found articles
 
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