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Beschreibung
This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.
This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.
Inhaltsverzeichnis
Prefaces to the 1st and 2nd editions; 1. Commutative rings and subrings; 2. Ideals; 3. Prime ideals and maximal ideals; 4. Primary decomposition; 5. Rings of fractions; 6. Modules; 7. Chain conditions on modules; 8. Commutative Noetherian rings; 9. More module theory; 10. Modules over principal ideal domains; 11. Canonical forms for square matrices; 12. Some applications to field theory; 13. Integral dependence on subrings; 14. Affine algebras over fields; 15. Dimension theory; 16. Regular sequences and grade; 17. Cohen-Macaulay rings; Bibliography; Index.
Details
Erscheinungsjahr: | 2004 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521646239 |
ISBN-10: | 0521646235 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sharp, R. Y. |
Redaktion: |
Sharp, Rodney Y.
Series, C. M. |
Auflage: | Revised |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 22 mm |
Von/Mit: | R. Y. Sharp |
Erscheinungsdatum: | 17.04.2004 |
Gewicht: | 0,597 kg |
Inhaltsverzeichnis
Prefaces to the 1st and 2nd editions; 1. Commutative rings and subrings; 2. Ideals; 3. Prime ideals and maximal ideals; 4. Primary decomposition; 5. Rings of fractions; 6. Modules; 7. Chain conditions on modules; 8. Commutative Noetherian rings; 9. More module theory; 10. Modules over principal ideal domains; 11. Canonical forms for square matrices; 12. Some applications to field theory; 13. Integral dependence on subrings; 14. Affine algebras over fields; 15. Dimension theory; 16. Regular sequences and grade; 17. Cohen-Macaulay rings; Bibliography; Index.
Details
Erscheinungsjahr: | 2004 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521646239 |
ISBN-10: | 0521646235 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sharp, R. Y. |
Redaktion: |
Sharp, Rodney Y.
Series, C. M. |
Auflage: | Revised |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 22 mm |
Von/Mit: | R. Y. Sharp |
Erscheinungsdatum: | 17.04.2004 |
Gewicht: | 0,597 kg |
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