Commutative Ring Theory

Klappentext This book explores commutative ring theory! an important a foundation for algebraic geometry and complex analytical geometry. Zusammenfassung In addition to being an interesting and profound subject in its own right! commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material! including dimension theory! depth! Cohen-Macaulay rings! Gorenstein rings! Krull rings and valuation rings. Inhaltsverzeichnis Preface; Introduction; Conventions and terminology; 1. Commutative rings and modules; 2. prime ideals; 3. Properties of extension rings; 4. Valuation rings; 5. Dimension theory; 6. Regular sequences; 7. Regular rings; 8. Flatness revisited; 9. Derivations; 10. I-smoothness; 11. Applications of complete local rings; Appendices; References; Index.

Produktdetails

• Autoren: H. Matsumura, Hideyuki Matsumura
• Mitarbeit: Bela Bollobas (Herausgeber), Miles Reid (Übersetzung)
• Verlag: Cambridge University Press Academic
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 25.05.1989
• EAN: 9780521367646
• ISBN: 978-0-521-36764-6
• Abmessung: 155 mm x 230 mm x 20 mm
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra