Rings and categories of modules.: 9783540900702

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Rings and Categories of Modules / F.W. Anderson, K.R. Fuller

Anderson, F.W. Fuller, K.R.

Edit� par New York, NY : Springer New York : Imprint: Springer, 1974

ISBN 10 : 3540900705 ISBN 13 : 9783540900702

Ancien ou d'occasion Couverture souple Edition originale

Vendeur : MW Books, New York, NY, Etats-Unis

�valuation du vendeur 5 sur 5 �toiles

1st edition. Near fine paperback copy; edges very slightly dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 339 pp. Contents; 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 Socle 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: Functions Between Module Categories -- §16. The Hom 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. Subjects; Algebra. Physics. Modules (Algebra). Rings (Algebra). Physics. Mathematics. 3 Kg. N� de r�f. du vendeur 397001

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Rings and Categories of Modules / F.W. Anderson, K.R. Fuller

Anderson, F.W. Fuller, K.R.

Edit� par New York, NY : Springer New York : Imprint: Springer, 1974

ISBN 10 : 3540900705 ISBN 13 : 9783540900702

Ancien ou d'occasion Couverture souple Edition originale

Vendeur : MW Books Ltd., Galway, Irlande

�valuation du vendeur 5 sur 5 �toiles

1st edition. Near fine paperback copy; edges very slightly dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 339 pp. Contents; 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 Socle 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: Functions Between Module Categories -- §16. The Hom 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. Subjects; Algebra. Physics. Modules (Algebra). Rings (Algebra). Physics. Mathematics. 1 Kg. N� de r�f. du vendeur 397001

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Rings and categories of modules. Graduate texts in mathematics.

Anderson, Frank W.

Edit� par Heidelberg, Springer, 1974

ISBN 10 : 3540900705 ISBN 13 : 9783540900702

Ancien ou d'occasion Softcover

Vendeur : Antiquariat Bookfarm, L�bnitz, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Softcover. 339 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. L07952 3540900705 Sprache: Englisch Gewicht in Gramm: 550. N� de r�f. du vendeur 2531379

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