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Record Nr. |
UNINA9910817262603321 |
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Autore |
Beligiannis Apostolos <1969-> |
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Titolo |
Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2007 |
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©2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (224 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 188, Number 883 |
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Disciplina |
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Soggetti |
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Torsion theory (Algebra) |
Algebra, Homological |
Homotopy theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 188, Number 883 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter I. Torsion Pairs in Abelian and Triangulated Categories""; ""1. Torsion Pairs in Abelian Categories""; ""2. Torsion Pairs in Triangulated Categories""; ""3. Tilting Torsion Pairs""; ""Chapter II. Torsion Pairs in Pretriangulated Categories""; ""1. Pretriangulated Categories""; ""2. Adjoints and Orthogonal Subcategories""; ""3. Torsion Pairs""; ""4. Torsion Pairs and Localization Sequences""; ""5. Lifting Torsion Pairs""; ""Chapter III. Compactly Generated Torsion Pairs in Triangulated Categories""; ""1. Torsion Pairs of Finite Type"" |
""2. Compactly Generated Torsion Pairs""""3. The Heart of a Compactly Generated Torsion Pair""; ""4. Torsion Pairs Induced by Tilting Objects""; ""Chapter IV. Hereditary Torsion Pairs in Triangulated Categories""; ""1. Hereditary Torsion Pairs""; ""2. Hereditary Torsion Pairs and Tilting""; ""3. Connections with the Homological Conjectures""; ""4. Concluding Remarks and Comments""; ""Chapter V. Torsion Pairs in Stable Categories""; ""1. A Description of Torsion Pairs""; ""2. Comparison of Subcategories""; ""3. Torsion and Cotorsion pairs""; ""4. Torsion Classes and Cohen-Macaulay Objects"" |
""5. Tilting Modules""""Chapter VI. Triangulated Torsion (-Free) Classes in Stable Categories""; ""1. Triangulated Subcategories""; ""2. |
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