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Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg
| Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg |
| Autore | Green Edward L. <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Graded rings
Artin algebras Koszul algebras Duality theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0347-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Acknowledgment""; ""Notation and general preliminary results""; ""Chapter I. Main results and examples""; ""1. Two classical cases""; ""2. Statements of main results""; ""3. T-Koszul algebras concentrated in degrees 0 and 1""; ""4. Further examples and classes of T-Koszul algebras""; ""Chapter II. Proofs of main results""; ""1. Preliminaries""; ""2. Duality""; ""3. T-Koszul algebras and quadratic algebras""; ""Chapter III. Generalized T-Koszul algebras""; ""1. Natural properties of Koszul modules""; ""2. Generalized T-Koszul algebras"" |
| Record Nr. | UNINA-9910480871603321 |
Green Edward L. <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg
| Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg |
| Autore | Green Edward L. <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Graded rings
Artin algebras Koszul algebras Duality theory (Mathematics) |
| ISBN | 1-4704-0347-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Acknowledgment""; ""Notation and general preliminary results""; ""Chapter I. Main results and examples""; ""1. Two classical cases""; ""2. Statements of main results""; ""3. T-Koszul algebras concentrated in degrees 0 and 1""; ""4. Further examples and classes of T-Koszul algebras""; ""Chapter II. Proofs of main results""; ""1. Preliminaries""; ""2. Duality""; ""3. T-Koszul algebras and quadratic algebras""; ""Chapter III. Generalized T-Koszul algebras""; ""1. Natural properties of Koszul modules""; ""2. Generalized T-Koszul algebras"" |
| Record Nr. | UNINA-9910788846903321 |
|
Green Edward L. <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg
| Dualities on generalized Koszul algebras / / Edward L. Green, Idun Reiten, ℗Øyvind Solberg |
| Autore | Green Edward L. <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Graded rings
Artin algebras Koszul algebras Duality theory (Mathematics) |
| ISBN | 1-4704-0347-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Acknowledgment""; ""Notation and general preliminary results""; ""Chapter I. Main results and examples""; ""1. Two classical cases""; ""2. Statements of main results""; ""3. T-Koszul algebras concentrated in degrees 0 and 1""; ""4. Further examples and classes of T-Koszul algebras""; ""Chapter II. Proofs of main results""; ""1. Preliminaries""; ""2. Duality""; ""3. T-Koszul algebras and quadratic algebras""; ""Chapter III. Generalized T-Koszul algebras""; ""1. Natural properties of Koszul modules""; ""2. Generalized T-Koszul algebras"" |
| Record Nr. | UNINA-9910812750103321 |
|
Green Edward L. <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten
| Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten |
| Autore | Beligiannis Apostolos <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (224 p.) |
| Disciplina | 516.36 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Torsion theory (Algebra)
Algebra, Homological Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0487-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Triangulated Torsion (-Free) Classes""; ""3. Cotorsion Triples""; ""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"" ""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"" ""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"" |
| Record Nr. | UNINA-9910480979103321 |
|
Beligiannis Apostolos <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten
| Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten |
| Autore | Beligiannis Apostolos <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (224 p.) |
| Disciplina | 516.36 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Torsion theory (Algebra)
Algebra, Homological Homotopy theory |
| ISBN | 1-4704-0487-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Triangulated Torsion (-Free) Classes""; ""3. Cotorsion Triples""; ""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"" ""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"" ""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"" |
| Record Nr. | UNINA-9910788744603321 |
|
Beligiannis Apostolos <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten
| Homological and homotopical aspects of Torsion theories / / Apostolos Beligiannis, Idun Reiten |
| Autore | Beligiannis Apostolos <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (224 p.) |
| Disciplina | 516.36 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Torsion theory (Algebra)
Algebra, Homological Homotopy theory |
| ISBN | 1-4704-0487-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Triangulated Torsion (-Free) Classes""; ""3. Cotorsion Triples""; ""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"" ""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"" ""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"" |
| Record Nr. | UNINA-9910817262603321 |
|
Beligiannis Apostolos <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910479911003321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788759403321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910829054003321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||