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Progress in commutative algebra. Combinatorics and homology / edited by Christopher Francisco, Lee Klingler, Sean Sather-Wagstaff, [and] Janet C. Vassilev
(De Gruyter Proceedings in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Berlin ; Boston : De Gruyter |
| 出版年 | ©2012 |
| 本文言語 | 英語 |
| 大きさ | 1 online resource (xii, 364 pages) : illustrations |
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| 資料種別 | 機械可読データファイル |
|---|---|
| 一般注記 | 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 Open Access In English Includes bibliographical references at chapter ends Print version record |
| 著者標目 | Francisco, Christopher, Klingler, Lee, 1955- Sather-Wagstaff, Sean, Vassilev, Janet Cowden, 1969- Floystad, Gunnar, Geramita, A. V., Harbourne, Brian, 1955- Migliore, Juan C. 1956- Morey, Susan, Villarreal, Rafael H., 1951- Mermin, Jeff, Clark, Timothy B. P., Cooper, Susan M., Roberts, Paul, 1945- Yao, Yongwei, Hummel, Livia, Leuschke, Graham J., 1973- |
| 件 名 | LCSH:Commutative algebra FREE:Algebra BISACSH:MATHEMATICS -- Algebra -- Intermediate 全ての件名で検索 FREE:Commutative algebra LCSH:Electronic books BSH:Electronic books |
| 分 類 | DC23:512 |
| 書誌ID | ED00003290 |
| ISBN | 9783110250404 |