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[null,"1.","Record Nr.",null,"UNINA9910480979103321"]
[null,null,"Autore",null,"Beligiannis Apostolos <1969->"]
[null,null,"Titolo",null,"Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2007"]
[{"$nulls":4},"©2007"]
[null,null,"ISBN",null,"1-4704-0487-7"]
[null,null,"Descrizione fisica",null,"1 online resource (224 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 188, Number 883"]
[null,null,"Disciplina",null,"516.36"]
[null,null,"Soggetti",null,"Torsion theory (Algebra)"]
[{"$nulls":4},"Algebra, Homological"]
[{"$nulls":4},"Homotopy theory"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 188, Number 883 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"2. Compactly Generated Torsion Pairs\"\"\"\"3. The Heart of a Compactly Generated Torsion Pair\"\"; \"\"4. Torsion Pairs Induced by Tilting Objects\"\"; \"\"Chapter IV. Hereditary Torsion Pairs in Triangulated Categories\"\"; \"\"1. Hereditary Torsion Pairs\"\"; \"\"2. Hereditary Torsion Pairs and Tilting\"\"; \"\"3. Connections with the Homological Conjectures\"\"; \"\"4. Concluding Remarks and Comments\"\"; \"\"Chapter V. Torsion Pairs in Stable Categories\"\"; \"\"1. A Description of Torsion Pairs\"\"; \"\"2. Comparison of Subcategories\"\"; \"\"3. Torsion and Cotorsion pairs\"\"; \"\"4. Torsion Classes and Cohen-Macaulay Objects\"\""]
[{"$nulls":4},"\"\"5. Tilting Modules\"\"\"\"Chapter VI. Triangulated Torsion (-Free) Classes in Stable Categories\"\"; \"\"1. Triangulated Subcategories\"\"; \"\"2. Triangulated Torsion (-Free) Classes\"\"; \"\"3. Cotorsion Triples\"\"; \"\"4. "]
[{"$nulls":4},"Applications to Gorenstein Artin Algebras\"\"; \"\"Chapter VII. Gorenstein Categories and ( Co) Torsion Pairs\"\"; \"\"1. Dimensions and Cotorsion Pairs\"\"; \"\"2. Gorenstein Categories, Cotorsion Pairs and Minimal Approximations\"\"; \"\"3. The Gorenstein Extension of a Cohen-Macaulay Category\"\"; \"\"4. Cohen-Macaulay Categories and ( Co) Torsion Pairs\"\""]
[{"$nulls":4},"\"\"Chapter VIII. Torsion Pairs and Closed Model Structures\"\"\"\"1. Preliminaries on Closed Model Categories\"\"; \"\"2. Closed Model Structures and Approximation Sequences\"\"; \"\"3. Cotorsion Pairs Arising from Closed Model Structures\"\"; \"\"4. Closed Model Structures Arising from Cotorsion Pairs\"\"; \"\"5. A Classification of ( Co) Torsion Pairs\"\"; \"\"Chapter IX. ( Co) Torsion Pairs and Generalized Tate-Vogel Cohomology\"\"; \"\"1. Hereditary Torsion Pairs and Homological Functors\"\"; \"\"2. Torsion Pairs and Generalized Tate-Vogel ( Co-) Homology\"\""]
[{"$nulls":4},"\"\"3. Relative Homology and Generalized Tate-Vogel ( Co) Homology\"\"\"\"4. Cotorsion Triples and Complete Cohomology Theories\"\"; \"\"Chapter X. Nakayama Categories and Cohen-Macaulay Cohomology\"\"; \"\"1. Nakayama Categories and Cohen-Macaulay Objects\"\"; \"\"2. ( Co) Torsion Pairs Induced by ( Co) Cohen-Macaulay Objects\"\"; \"\"3. Cohen-Macaulay Cohomology\"\"; \"\"Bibliography\"\"; \"\"Index\"\""]