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Approximations and endomorphism algebras of modules [[electronic resource] /] / Rudiger Gobel, Jan Trlifaj
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
Opac: Controlla la disponibilità qui
Approximations and endomorphism algebras of modules [[electronic resource] /] / Rudiger Gobel, Jan Trlifaj
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
Opac: Controlla la disponibilità qui
Approximations and endomorphism algebras of modules / / Rudiger Gobel, Jan Trlifaj
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
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-9910959394103321
Göbel R (Rüdiger), <1940->  
Berlin ; ; Boston, : De Gruyter, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Approximations and endomorphism algebras of modules [[electronic resource] /] / by Rüdiger Göbel and Jan Trlifaj
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
Opac: Controlla la disponibilità qui
Approximations and endomorphism algebras of modules [[electronic resource] /] / by Rüdiger Göbel and Jan Trlifaj
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
Opac: Controlla la disponibilità qui
Approximations and endomorphism algebras of modules / / by Rudiger Gobel and Jan Trlifaj
Approximations and endomorphism algebras of modules / / by Rudiger Gobel and Jan Trlifaj
Autore Göbel R (Rüdiger), <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 9786612194832
9781282194830
1282194836
9783110199727
3110199726
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-9910973934903321
Göbel R (Rüdiger), <1940->  
Berlin ; ; New York, : Walter de Gruyter, 2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
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
Opac: Controlla la disponibilità qui
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
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
Opac: Controlla la disponibilità qui
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
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
Opac: Controlla la disponibilità qui
Modules over discrete valuation domains [[electronic resource] /] / by Piotr A. Krylov and Askar A. Tuganbaev
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
Opac: Controlla la disponibilità qui