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The Functor Hom and Cotorsion Theories

✍ Scribed by Fuchs, László; Lee, Sang Bum


Book ID
127257187
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
173 KB
Volume
37
Category
Article
ISSN
0092-7872

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On the Lattice of Cotorsion Theories
✍ Rüdiger Göbel; Saharon Shelah; Simone L Wallutis 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 181 KB

We discuss the lattice of cotorsion theories for abelian groups. First we show that the sublattice of the well-studied rational cotorsion theories can be identified with the well-known lattice of types. Using a recently developed method for making Ext vanish, we also prove that any power set togethe