Tsit-Yuen Lam: Lectures on Modules and Rings

Cover: 9781461268024 | Lectures on Modules and Rings | Tsit-Yuen Lam | Taschenbuch | xxiii

Bild: 9781461268024 | Lectures on Modules and Rings | Tsit-Yuen Lam | Taschenbuch | xxiii

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Sprache: Englisch

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Beschreibung

This is the long awaited sequel to Lam's earlier GTM 131 "A First Course in Noncommutative Ring Theory" and is intended to be used for lecturing, seminar- and self-study, and for general reference. It is focused more on specific topics in order to introduce the reader to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. This volume is particularly user- friendly with its abundance of examples illustrating the theory virtually at every step.

Zusammenfassung

Inhaltsverzeichnis

1 Free Modules, Projective, and Injective Modules.- 1. Free Modules.- 2. Projective Modules.- 3. Injective Modules.- 31. Matlis' Theory.- 2 Flat Modules and Homological Dimensions.- 4. Flat and Faithfully Flat Modules.- 41. Faithfully Flat Modules.- 5. Homological Dimensions.- 3 More Theory of Modules.- 6. Uniform Dimensions, Complements, and CS Modules.- 7. Singular Submodules and Nonsingular Rings.- 8. Dense Submodules and Rational Hulls.- 4 Rings of Quotients.- 9. Noncommutative Localization.- 10. Classical Rings of Quotients.- 11. Right Goldie Rings and Goldie's Theorems.- 12. Artinian Rings of Quotients.- 5 More Rings of Quotients.- 13. Maximal Rings of Quotients.- 14. Martindale Rings of Quotients.- 6 Frobenius and Quasi-Frobenius Rings.- 15. Quasi-Frobenius Rings.- 16. Frobenius Rings and Symmetric Algebras.- 7 Matrix Rings, Categories of Modules, and Morita Theory.- 17. Matrix Rings.- 18. Morita Theory of Category Equivalences.- 19. Morita Duality Theory.- References.- Name Index.

Details

Erscheinungsjahr:	2012
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xxiii 557 S.
ISBN-13:	9781461268024
ISBN-10:	1461268028
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lam, Tsit-Yuen
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 32 mm
Von/Mit:	Tsit-Yuen Lam
Erscheinungsdatum:	18.09.2012
Gewicht:	0,879 kg