Commutative ring theory:
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, Kru...
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| Format: | E-Book |
| Sprache: | Englisch Japanisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1986
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
8 |
| Links: | https://doi.org/10.1017/CBO9781139171762 |
| 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. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book. |
| Umfang: | 1 Online-Ressource (xiii, 320 Seiten) |
| ISBN: | 9781139171762 |
Internformat
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| 100 | 1 | |a Matsumura, Hideyuki |d 1930- | |
| 240 | 1 | 0 | |a Kakankanron. |l English |
| 245 | 1 | 0 | |a Commutative ring theory |c Hideyuki Matsumura ; translated by M. Reid |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1986 | |
| 300 | |a 1 Online-Ressource (xiii, 320 Seiten) | ||
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 8 | |
| 520 | |a 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. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book. | ||
| 700 | 1 | |a Reid, M. | |
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| isbn | 9781139171762 |
| language | English Japanese |
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| physical | 1 Online-Ressource (xiii, 320 Seiten) |
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| publishDate | 1986 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge studies in advanced mathematics |
| spelling | Matsumura, Hideyuki 1930- Kakankanron. English Commutative ring theory Hideyuki Matsumura ; translated by M. Reid Cambridge Cambridge University Press 1986 1 Online-Ressource (xiii, 320 Seiten) txt c cr Cambridge studies in advanced mathematics 8 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. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book. Reid, M. Erscheint auch als Druck-Ausgabe 9780521259163 Erscheint auch als Druck-Ausgabe 9780521367646 |
| spellingShingle | Matsumura, Hideyuki 1930- Commutative ring theory |
| title | Commutative ring theory |
| title_alt | Kakankanron. |
| title_auth | Commutative ring theory |
| title_exact_search | Commutative ring theory |
| title_full | Commutative ring theory Hideyuki Matsumura ; translated by M. Reid |
| title_fullStr | Commutative ring theory Hideyuki Matsumura ; translated by M. Reid |
| title_full_unstemmed | Commutative ring theory Hideyuki Matsumura ; translated by M. Reid |
| title_short | Commutative ring theory |
| title_sort | commutative ring theory |
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