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Rings and Categories of Modules [[electronic resource] /] / by Frank W. Anderson, Kent R. Fuller
| Rings and Categories of Modules [[electronic resource] /] / by Frank W. Anderson, Kent R. Fuller |
| Autore | Anderson Frank W |
| Edizione | [2nd ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 378 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-4418-8 |
| Classificazione | 16-02 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | §0. Preliminaries -- 1: Rings, Modules and Homomorphisms -- §1. Review of Rings and their Homomorphisms -- §2. Modules and Submodules -- §3. Homomorphisms of Modules -- §4. Categories of Modules; Endomorphism Rings -- 2: Direct Sums and Products -- §5. Direct Summands -- §6. Direct Sums and Products of Modules -- §7. Decomposition of Rings -- §8. Generating and Cogenerating -- 3: Finiteness Conditions for Modules -- §9. Semisimple Modules—The Sode and the Radical -- §10. Finitely Generated and Finitely Cogenerated Modules—Chain Conditions -- §11. Modules with Composition Series -- §12. Indecomposable Decompositions of Modules -- 4: Classical Ring-Structure Theorems -- §13. Semisimple Rings -- §14. The Density Theorem -- §15. The Radical of a Ring—Local Rings and Artinian Rings -- 5: Functors Between Module Categories -- §16. The Horn Functors and Exactness—Projectivity and Injectivity -- §17. Projective Modules and Generators -- §18. Injective Modules and Cogenerators -- §19. The Tensor Functors and Flat Modules -- §20. Natural Transformations -- 6: Equivalence and Duality for Module Categories -- §21. Equivalent Rings -- §22. The Morita Characterizations of Equivalence -- §23. Dualities -- §24. Morita Dualities -- 7: Injective Modules, Projective Modules, and Their Decompositions -- §25. Injective Modules and Noetherian Rings—The Faith-Walker Theorems -- §26. Direct Sums of Countably Generated Modules—With Local Endomorphism Rings -- §27. Semiperfect Rings -- §28. Perfect Rings -- §29. Modules with Perfect Endomorphism Rings -- 8: Classical Artinian Rings -- §30. Artinian Rings with Duality -- §31. Injective Projective Modules -- §32. Serial Rings -- References. |
| Record Nr. | UNINA-9910480839003321 |
Anderson Frank W
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rings and Categories of Modules [[electronic resource] /] / by Frank W. Anderson, Kent R. Fuller
| Rings and Categories of Modules [[electronic resource] /] / by Frank W. Anderson, Kent R. Fuller |
| Autore | Anderson Frank W |
| Edizione | [2nd ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 378 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-4418-8 |
| Classificazione | 16-02 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | §0. Preliminaries -- 1: Rings, Modules and Homomorphisms -- §1. Review of Rings and their Homomorphisms -- §2. Modules and Submodules -- §3. Homomorphisms of Modules -- §4. Categories of Modules; Endomorphism Rings -- 2: Direct Sums and Products -- §5. Direct Summands -- §6. Direct Sums and Products of Modules -- §7. Decomposition of Rings -- §8. Generating and Cogenerating -- 3: Finiteness Conditions for Modules -- §9. Semisimple Modules—The Sode and the Radical -- §10. Finitely Generated and Finitely Cogenerated Modules—Chain Conditions -- §11. Modules with Composition Series -- §12. Indecomposable Decompositions of Modules -- 4: Classical Ring-Structure Theorems -- §13. Semisimple Rings -- §14. The Density Theorem -- §15. The Radical of a Ring—Local Rings and Artinian Rings -- 5: Functors Between Module Categories -- §16. The Horn Functors and Exactness—Projectivity and Injectivity -- §17. Projective Modules and Generators -- §18. Injective Modules and Cogenerators -- §19. The Tensor Functors and Flat Modules -- §20. Natural Transformations -- 6: Equivalence and Duality for Module Categories -- §21. Equivalent Rings -- §22. The Morita Characterizations of Equivalence -- §23. Dualities -- §24. Morita Dualities -- 7: Injective Modules, Projective Modules, and Their Decompositions -- §25. Injective Modules and Noetherian Rings—The Faith-Walker Theorems -- §26. Direct Sums of Countably Generated Modules—With Local Endomorphism Rings -- §27. Semiperfect Rings -- §28. Perfect Rings -- §29. Modules with Perfect Endomorphism Rings -- 8: Classical Artinian Rings -- §30. Artinian Rings with Duality -- §31. Injective Projective Modules -- §32. Serial Rings -- References. |
| Record Nr. | UNINA-9910789218403321 |
|
Anderson Frank W
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rings and Categories of Modules / / by Frank W. Anderson, Kent R. Fuller
| Rings and Categories of Modules / / by Frank W. Anderson, Kent R. Fuller |
| Autore | Anderson Frank W |
| Edizione | [2nd ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 378 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-4418-8 |
| Classificazione | 16-02 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | §0. Preliminaries -- 1: Rings, Modules and Homomorphisms -- §1. Review of Rings and their Homomorphisms -- §2. Modules and Submodules -- §3. Homomorphisms of Modules -- §4. Categories of Modules; Endomorphism Rings -- 2: Direct Sums and Products -- §5. Direct Summands -- §6. Direct Sums and Products of Modules -- §7. Decomposition of Rings -- §8. Generating and Cogenerating -- 3: Finiteness Conditions for Modules -- §9. Semisimple Modules—The Sode and the Radical -- §10. Finitely Generated and Finitely Cogenerated Modules—Chain Conditions -- §11. Modules with Composition Series -- §12. Indecomposable Decompositions of Modules -- 4: Classical Ring-Structure Theorems -- §13. Semisimple Rings -- §14. The Density Theorem -- §15. The Radical of a Ring—Local Rings and Artinian Rings -- 5: Functors Between Module Categories -- §16. The Horn Functors and Exactness—Projectivity and Injectivity -- §17. Projective Modules and Generators -- §18. Injective Modules and Cogenerators -- §19. The Tensor Functors and Flat Modules -- §20. Natural Transformations -- 6: Equivalence and Duality for Module Categories -- §21. Equivalent Rings -- §22. The Morita Characterizations of Equivalence -- §23. Dualities -- §24. Morita Dualities -- 7: Injective Modules, Projective Modules, and Their Decompositions -- §25. Injective Modules and Noetherian Rings—The Faith-Walker Theorems -- §26. Direct Sums of Countably Generated Modules—With Local Endomorphism Rings -- §27. Semiperfect Rings -- §28. Perfect Rings -- §29. Modules with Perfect Endomorphism Rings -- 8: Classical Artinian Rings -- §30. Artinian Rings with Duality -- §31. Injective Projective Modules -- §32. Serial Rings -- References. |
| Record Nr. | UNINA-9910964089003321 |
|
Anderson Frank W
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||