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Homological and homotopical aspects of torsion theories

About this Title

Apostolos Beligiannis and Idun Reiten

Publication: Memoirs of the American Mathematical Society
Publication Year 2007: Volume 188, Number 883
ISBNs: 978-0-8218-3996-6 (print); 978-1-4704-0487-1 (online)
MathSciNet review: 2327478
MSC: Primary 18G55; Secondary 20J05, 55U35

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Table of Contents


  • Introduction
  • I. Torsion pairs in Abelian and triangulated categories
  • II. Torsion pairs in pretriangulated categories
  • III. Compactly generated torsion pairs in triangulated categories
  • IV. Hereditary torsion pairs in triangulated categories
  • V. Torsion pairs in stable categories
  • VI. Triangulated torsion (-free) classes in stable categories
  • VII. Gorenstein categories and (co)torsion pairs
  • VIII. Torsion pairs and closed model structures
  • IX. (Co)torsion pairs and generalized Tate-Vogel cohomology
  • X. Nakayama categories and Cohen-Macaulay cohomology

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