Homological and homotopical aspects of Torsion theories / [electronic resource] Apostolos Beligiannis, Idun Reiten.

By: Beligiannis, Apostolos, 1969-
Contributor(s): Reiten, Idun, 1942-
Material type: TextTextSeries: Memoirs of the American Mathematical Society, v. 883Publisher: Providence, R.I. : American Mathematical Society, 2007Description: 1 online resource (vii, 207 p.)ISBN: 9781470404871 (online)Subject(s): Torsion theory (Algebra) | Algebra, Homological | Homotopy theoryAdditional physical formats: Homological and homotopical aspects of Torsion theories /DDC classification: 516.3/6 LOC classification: QA251.3 | .B46 2007Online resources: Contents
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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Includes bibliographical references (p. 200-203) and index.

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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