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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)
DOI: https://doi.org/10.1090/memo/0883
MathSciNet review: 2327478
MSC: Primary 18G55; Secondary 20J05, 55U35
Table of Contents
Chapters
- 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