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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 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
| 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 | ||
| ||