Approximations and endomorphism algebras of modules / / by Rudiger Gobel and Jan Trlifaj |
Autore | Gobel R (Rudiger), <1940-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (664 p.) |
Disciplina | 512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
ISBN |
1-282-19483-6
9786612194832 3-11-019972-6 |
Classificazione |
510
SK 150 SK 230 SK 820 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Some useful classes of modules -- Chapter 2. Approximations of modules -- Chapter 3. Complete cotorsion pairs -- Chapter 4. Deconstruction of cotorsion pairs -- Chapter 5. Tilting approximations -- Chapter 6. 1-tilting modules and their applications -- Chapter 7. Tilting approximations and the finitistic dimension conjectures -- Chapter 8. Cotilting modules -- Chapter 9. The Black Box and its relatives -- Chapter 10. Independence results for cotorsion pairs -- Chapter 11. The lattice of cotorsion pairs -- Chapter 12. Realizing algebras - by algebraically independent elements and by prediction principles -- Chapter 13. E(R)-algebras -- Chapter 14. Modules with distinguished submodules -- Chapter 15. Some useful classes of algebras -- Backmatter |
Record Nr. | UNINA-9910817473303321 |
Gobel R (Rudiger), <1940-> | ||
Berlin ; ; New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Approximations and endomorphism algebras of modules [[electronic resource] /] / Rudiger Gobel, Jan Trlifaj |
Autore | Göbel R (Rüdiger), <1940-> |
Edizione | [2nd rev. and extended ed.] |
Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
Descrizione fisica | 1 online resource (1002 p.) |
Disciplina |
512.42
512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-283-85645-X
3-11-021811-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- List of Symbols -- Part I. Some useful classes of modules -- Chapter 1. S-completions -- Chapter 2. Pure-injective modules -- Chapter 3. Mittag-Leffler modules -- Chapter 4. Slender modules -- Part II. Approximations and cotorsion pairs -- Chapter 5. Approximations of modules -- Chapter 6. Complete cotorsion pairs -- Chapter 7. Hill lemma and its applications -- Chapter 8. Deconstruction of the roots of Ext -- Chapter 9. Modules of projective dimension one -- Chapter 10. Kaplansky classes and abstract elementary classes -- Chapter 11. Independence results for cotorsion pairs -- Chapter 12. The lattice of cotorsion pairs -- Part III. Tilting and cotilting approximations -- Chapter 13. Tilting approximations -- Chapter 14. 1-tilting modules and their applications -- Chapter 15. Cotilting classes -- Chapter 16. Tilting and cotilting classes over commutative noetherian rings -- Chapter 17. Tilting approximations and the finitistic dimension conjectures -- Bibliography -- Index -- Part IV Prediction principles -- Chapter 18. Survey of prediction principles using ZFC and more -- Chapter 19. Prediction principles in ZFC: the Black Boxes and others -- Part V. Endomorphism algebras and automorphism groups -- Chapter 20. Realising algebras - by algebraically independent elements and by prediction principles -- Chapter 21. Automorphism groups of torsion-free abelian groups -- Chapter 22. Modules with distinguished submodules -- Chapter 23. R-modules and fields from modules with distinguished submodules -- Chapter 24 Endomorphism algebras of אn-free modules -- Part VI. Modules and rings related to algebraic topology -- Chapter 25. Localisations and cellular covers, the general theory for R-modules -- Chapter 26. Tame and wild localisations of size ≤ 2 ℵ0 -- Chapter 27. Tame cellular covers -- Chapter 28. Wild cellular covers -- Chapter 29. Absolute E-rings -- Part VII. Cellular covers, localisations and E(R)-algebras -- Chapter 30. Large kernels of cellular covers and large localisations -- Chapter 31. Mixed E(R)-modules over Dedekind domains -- Chapter 32. E(R)-modules with cotorsion -- Chapter 33. Generalised E(R)-algebras -- Chapter 34. Some more useful classes of algebras -- Bibliography -- Index |
Record Nr. | UNINA-9910453117003321 |
Göbel R (Rüdiger), <1940-> | ||
Berlin ; ; Boston, : De Gruyter, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Approximations and endomorphism algebras of modules [[electronic resource] /] / Rudiger Gobel, Jan Trlifaj |
Autore | Göbel R (Rüdiger), <1940-> |
Edizione | [2nd rev. and extended ed.] |
Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
Descrizione fisica | 1 online resource (1002 p.) |
Disciplina |
512.42
512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
Soggetto non controllato |
Approximations of Modules
Cotorsion Pair E-Ring Endomorphism Algebra Filtration Infinite Dimensional Tilting Theory Prediction Principle |
ISBN |
1-283-85645-X
3-11-021811-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- List of Symbols -- Part I. Some useful classes of modules -- Chapter 1. S-completions -- Chapter 2. Pure-injective modules -- Chapter 3. Mittag-Leffler modules -- Chapter 4. Slender modules -- Part II. Approximations and cotorsion pairs -- Chapter 5. Approximations of modules -- Chapter 6. Complete cotorsion pairs -- Chapter 7. Hill lemma and its applications -- Chapter 8. Deconstruction of the roots of Ext -- Chapter 9. Modules of projective dimension one -- Chapter 10. Kaplansky classes and abstract elementary classes -- Chapter 11. Independence results for cotorsion pairs -- Chapter 12. The lattice of cotorsion pairs -- Part III. Tilting and cotilting approximations -- Chapter 13. Tilting approximations -- Chapter 14. 1-tilting modules and their applications -- Chapter 15. Cotilting classes -- Chapter 16. Tilting and cotilting classes over commutative noetherian rings -- Chapter 17. Tilting approximations and the finitistic dimension conjectures -- Bibliography -- Index -- Part IV Prediction principles -- Chapter 18. Survey of prediction principles using ZFC and more -- Chapter 19. Prediction principles in ZFC: the Black Boxes and others -- Part V. Endomorphism algebras and automorphism groups -- Chapter 20. Realising algebras - by algebraically independent elements and by prediction principles -- Chapter 21. Automorphism groups of torsion-free abelian groups -- Chapter 22. Modules with distinguished submodules -- Chapter 23. R-modules and fields from modules with distinguished submodules -- Chapter 24 Endomorphism algebras of אn-free modules -- Part VI. Modules and rings related to algebraic topology -- Chapter 25. Localisations and cellular covers, the general theory for R-modules -- Chapter 26. Tame and wild localisations of size ≤ 2 ℵ0 -- Chapter 27. Tame cellular covers -- Chapter 28. Wild cellular covers -- Chapter 29. Absolute E-rings -- Part VII. Cellular covers, localisations and E(R)-algebras -- Chapter 30. Large kernels of cellular covers and large localisations -- Chapter 31. Mixed E(R)-modules over Dedekind domains -- Chapter 32. E(R)-modules with cotorsion -- Chapter 33. Generalised E(R)-algebras -- Chapter 34. Some more useful classes of algebras -- Bibliography -- Index |
Record Nr. | UNINA-9910779314603321 |
Göbel R (Rüdiger), <1940-> | ||
Berlin ; ; Boston, : De Gruyter, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Approximations and endomorphism algebras of modules / / Rudiger Gobel, Jan Trlifaj |
Autore | Göbel R (Rüdiger), <1940-> |
Edizione | [2nd rev. and extended ed.] |
Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
Descrizione fisica | 1 online resource (1002 p.) |
Disciplina |
512.42
512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
Soggetto non controllato |
Approximations of Modules
Cotorsion Pair E-Ring Endomorphism Algebra Filtration Infinite Dimensional Tilting Theory Prediction Principle |
ISBN |
1-283-85645-X
3-11-021811-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- List of Symbols -- Part I. Some useful classes of modules -- Chapter 1. S-completions -- Chapter 2. Pure-injective modules -- Chapter 3. Mittag-Leffler modules -- Chapter 4. Slender modules -- Part II. Approximations and cotorsion pairs -- Chapter 5. Approximations of modules -- Chapter 6. Complete cotorsion pairs -- Chapter 7. Hill lemma and its applications -- Chapter 8. Deconstruction of the roots of Ext -- Chapter 9. Modules of projective dimension one -- Chapter 10. Kaplansky classes and abstract elementary classes -- Chapter 11. Independence results for cotorsion pairs -- Chapter 12. The lattice of cotorsion pairs -- Part III. Tilting and cotilting approximations -- Chapter 13. Tilting approximations -- Chapter 14. 1-tilting modules and their applications -- Chapter 15. Cotilting classes -- Chapter 16. Tilting and cotilting classes over commutative noetherian rings -- Chapter 17. Tilting approximations and the finitistic dimension conjectures -- Bibliography -- Index -- Part IV Prediction principles -- Chapter 18. Survey of prediction principles using ZFC and more -- Chapter 19. Prediction principles in ZFC: the Black Boxes and others -- Part V. Endomorphism algebras and automorphism groups -- Chapter 20. Realising algebras - by algebraically independent elements and by prediction principles -- Chapter 21. Automorphism groups of torsion-free abelian groups -- Chapter 22. Modules with distinguished submodules -- Chapter 23. R-modules and fields from modules with distinguished submodules -- Chapter 24 Endomorphism algebras of אn-free modules -- Part VI. Modules and rings related to algebraic topology -- Chapter 25. Localisations and cellular covers, the general theory for R-modules -- Chapter 26. Tame and wild localisations of size ≤ 2 ℵ0 -- Chapter 27. Tame cellular covers -- Chapter 28. Wild cellular covers -- Chapter 29. Absolute E-rings -- Part VII. Cellular covers, localisations and E(R)-algebras -- Chapter 30. Large kernels of cellular covers and large localisations -- Chapter 31. Mixed E(R)-modules over Dedekind domains -- Chapter 32. E(R)-modules with cotorsion -- Chapter 33. Generalised E(R)-algebras -- Chapter 34. Some more useful classes of algebras -- Bibliography -- Index |
Record Nr. | UNINA-9910825810303321 |
Göbel R (Rüdiger), <1940-> | ||
Berlin ; ; Boston, : De Gruyter, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Approximations and endomorphism algebras of modules [[electronic resource] /] / by Rüdiger Göbel and Jan Trlifaj |
Autore | Göbel R (Rüdiger), <1940-> |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (664 p.) |
Disciplina | 512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-19483-6
9786612194832 3-11-019972-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Some useful classes of modules -- Chapter 2. Approximations of modules -- Chapter 3. Complete cotorsion pairs -- Chapter 4. Deconstruction of cotorsion pairs -- Chapter 5. Tilting approximations -- Chapter 6. 1-tilting modules and their applications -- Chapter 7. Tilting approximations and the finitistic dimension conjectures -- Chapter 8. Cotilting modules -- Chapter 9. The Black Box and its relatives -- Chapter 10. Independence results for cotorsion pairs -- Chapter 11. The lattice of cotorsion pairs -- Chapter 12. Realizing algebras - by algebraically independent elements and by prediction principles -- Chapter 13. E(R)-algebras -- Chapter 14. Modules with distinguished submodules -- Chapter 15. Some useful classes of algebras -- Backmatter |
Record Nr. | UNINA-9910451244703321 |
Göbel R (Rüdiger), <1940-> | ||
Berlin ; ; New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Approximations and endomorphism algebras of modules [[electronic resource] /] / by Rüdiger Göbel and Jan Trlifaj |
Autore | Göbel R (Rüdiger), <1940-> |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (664 p.) |
Disciplina | 512/.42 |
Altri autori (Persone) | TrlifajJan |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Moduli theory Approximation theory |
Soggetto non controllato | Algebra, ideal, module, ring, indecomposable module |
ISBN |
1-282-19483-6
9786612194832 3-11-019972-6 |
Classificazione |
510
SK 150 SK 230 SK 820 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Some useful classes of modules -- Chapter 2. Approximations of modules -- Chapter 3. Complete cotorsion pairs -- Chapter 4. Deconstruction of cotorsion pairs -- Chapter 5. Tilting approximations -- Chapter 6. 1-tilting modules and their applications -- Chapter 7. Tilting approximations and the finitistic dimension conjectures -- Chapter 8. Cotilting modules -- Chapter 9. The Black Box and its relatives -- Chapter 10. Independence results for cotorsion pairs -- Chapter 11. The lattice of cotorsion pairs -- Chapter 12. Realizing algebras - by algebraically independent elements and by prediction principles -- Chapter 13. E(R)-algebras -- Chapter 14. Modules with distinguished submodules -- Chapter 15. Some useful classes of algebras -- Backmatter |
Record Nr. | UNINA-9910784286503321 |
Göbel R (Rüdiger), <1940-> | ||
Berlin ; ; New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
Autore | Lehmkuhl Thomas |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
Descrizione fisica | 1 online resource (113 p.) |
Disciplina | 512/.42 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0527-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
Record Nr. | UNINA-9910480229403321 |
Lehmkuhl Thomas | ||
Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
Autore | Lehmkuhl Thomas |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
Descrizione fisica | 1 online resource (113 p.) |
Disciplina | 512/.42 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
ISBN | 1-4704-0527-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
Record Nr. | UNINA-9910788854003321 |
Lehmkuhl Thomas | ||
Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
Autore | Lehmkuhl Thomas |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
Descrizione fisica | 1 online resource (113 p.) |
Disciplina | 512/.42 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
ISBN | 1-4704-0527-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
Record Nr. | UNINA-9910829176303321 |
Lehmkuhl Thomas | ||
Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Modules over discrete valuation domains [[electronic resource] /] / by Piotr A. Krylov and Askar A. Tuganbaev |
Autore | Krylov Piotr A |
Pubbl/distr/stampa | Berlin ; ; New York, : de Gruyter, c2008 |
Descrizione fisica | 1 online resource (368 p.) |
Disciplina | 512/.42 |
Altri autori (Persone) | TuganbaevAskar A |
Collana | De Gruyter expositions in mathematics |
Soggetto topico |
Modules (Algebra)
Commutative algebra |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-19654-5
9786612196546 3-11-020578-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and complete modules -- Chapter 4 Representation of rings by endomorphism rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their endomorphism rings -- Chapter 8 Modules with many endomorphisms or automorphisms -- Backmatter |
Record Nr. | UNINA-9910454339103321 |
Krylov Piotr A | ||
Berlin ; ; New York, : de Gruyter, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|