Lectures on the asymptotic theory of ideals:
In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1988
|
| Schriftenreihe: | London Mathematical Society lecture note series
113 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (201 pages) |
| ISBN: | 9780511525957 |
| DOI: | 10.1017/CBO9780511525957 |
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| 520 | |a In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511525957 |
| format | Electronic eBook |
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| id | DE-604.BV043941626 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511525957 |
| language | English |
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| spelling | Rees, D. 1918-2013 Verfasser aut Lectures on the asymptotic theory of ideals D. Rees Cambridge Cambridge University Press 1988 1 online resource (201 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 113 Title from publisher's bibliographic system (viewed on 05 Oct 2015) In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University Ideals (Algebra) / Asymptotic theory Ideal Mathematik (DE-588)4161198-6 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Ideal Mathematik (DE-588)4161198-6 s Asymptotik (DE-588)4126634-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-31127-4 https://doi.org/10.1017/CBO9780511525957 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rees, D. 1918-2013 Lectures on the asymptotic theory of ideals Ideals (Algebra) / Asymptotic theory Ideal Mathematik (DE-588)4161198-6 gnd Asymptotik (DE-588)4126634-1 gnd |
| subject_GND | (DE-588)4161198-6 (DE-588)4126634-1 |
| title | Lectures on the asymptotic theory of ideals |
| title_auth | Lectures on the asymptotic theory of ideals |
| title_exact_search | Lectures on the asymptotic theory of ideals |
| title_full | Lectures on the asymptotic theory of ideals D. Rees |
| title_fullStr | Lectures on the asymptotic theory of ideals D. Rees |
| title_full_unstemmed | Lectures on the asymptotic theory of ideals D. Rees |
| title_short | Lectures on the asymptotic theory of ideals |
| title_sort | lectures on the asymptotic theory of ideals |
| topic | Ideals (Algebra) / Asymptotic theory Ideal Mathematik (DE-588)4161198-6 gnd Asymptotik (DE-588)4126634-1 gnd |
| topic_facet | Ideals (Algebra) / Asymptotic theory Ideal Mathematik Asymptotik |
| url | https://doi.org/10.1017/CBO9780511525957 |
| work_keys_str_mv | AT reesd lecturesontheasymptotictheoryofideals |