Non-Noetherian Commutative Ring Theory:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2000
|
| Schriftenreihe: | Mathematics and Its Applications
520 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Commutative Ring Theory emerged as a distinct field of research in mathematics only at the beginning of the twentieth century. It is rooted in nineteenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area |
| Beschreibung: | 1 Online-Ressource (X, 480 p) |
| ISBN: | 9781475731804 9781441948359 |
| DOI: | 10.1007/978-1-4757-3180-4 |
Internformat
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| 500 | |a Commutative Ring Theory emerged as a distinct field of research in mathematics only at the beginning of the twentieth century. It is rooted in nineteenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area | ||
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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-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3180-4 |
| format | Electronic eBook |
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| spelling | Chapman, Scott T. edt Non-Noetherian Commutative Ring Theory edited by Scott T. Chapman, Sarah Glaz Boston, MA Springer US 2000 1 Online-Ressource (X, 480 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 520 Commutative Ring Theory emerged as a distinct field of research in mathematics only at the beginning of the twentieth century. It is rooted in nineteenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area Mathematics Geometry, algebraic Algebra Field theory (Physics) Commutative Rings and Algebras Field Theory and Polynomials Algebraic Geometry Mathematik Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Ringtheorie (DE-588)4126571-3 s 2\p DE-604 Kommutativer Ring (DE-588)4164825-0 s 3\p DE-604 Glaz, Sarah edt Mathematics and Its Applications 520 (DE-604)BV008163334 520 https://doi.org/10.1007/978-1-4757-3180-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Non-Noetherian Commutative Ring Theory Mathematics and Its Applications Mathematics Geometry, algebraic Algebra Field theory (Physics) Commutative Rings and Algebras Field Theory and Polynomials Algebraic Geometry Mathematik Kommutativer Ring (DE-588)4164825-0 gnd Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4164825-0 (DE-588)4126571-3 (DE-588)4143413-4 |
| title | Non-Noetherian Commutative Ring Theory |
| title_auth | Non-Noetherian Commutative Ring Theory |
| title_exact_search | Non-Noetherian Commutative Ring Theory |
| title_full | Non-Noetherian Commutative Ring Theory edited by Scott T. Chapman, Sarah Glaz |
| title_fullStr | Non-Noetherian Commutative Ring Theory edited by Scott T. Chapman, Sarah Glaz |
| title_full_unstemmed | Non-Noetherian Commutative Ring Theory edited by Scott T. Chapman, Sarah Glaz |
| title_short | Non-Noetherian Commutative Ring Theory |
| title_sort | non noetherian commutative ring theory |
| topic | Mathematics Geometry, algebraic Algebra Field theory (Physics) Commutative Rings and Algebras Field Theory and Polynomials Algebraic Geometry Mathematik Kommutativer Ring (DE-588)4164825-0 gnd Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebra Field theory (Physics) Commutative Rings and Algebras Field Theory and Polynomials Algebraic Geometry Mathematik Kommutativer Ring Ringtheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4757-3180-4 |
| volume_link | (DE-604)BV008163334 |
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