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Progress in commutative algebra. 1, Combinatorics and homology /
This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra a...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , , , , , , , , , , |
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
©2012.
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| Colección: | Gruyter Proceedings in Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. Homological techniques have become indispensable tools for the study of noetherian rings. These ideas have yielded amazing levels of interaction with other fields like algebraic topology (via differential graded techniques as well as the foundations of homological algebra), analysis (via the study of D-modules), and combinatorics. The homological articles in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian. |
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| Descripción Física: | 1 online resource (xii, 364 pages) : illustrations |
| Bibliografía: | Includes bibliographical references at chapter ends. |
| ISBN: | 9783110250404 3110250403 9783112190203 3112190203 9783110250343 3110250349 1280570326 9781280570322 9786613599926 6613599921 |
| Acceso: | Open Access |