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RT Book, Whole SR Electronic DC OPAC T1 Progress in commutative algebra. Combinatorics and homology / edited by Christopher Francisco, Lee Klingler, Sean Sather-Wagstaff, [and] Janet C. Vassilev T2 De Gruyter Proceedings in Mathematics A1 Francisco, Christopher, A1 Klingler, Lee, 1955- A1 Sather-Wagstaff, Sean, A1 Vassilev, Janet Cowden, 1969- A1 Floystad, Gunnar, A1 Geramita, A. V., A1 Harbourne, Brian, 1955- A1 Migliore, Juan C. 1956- A1 Morey, Susan, A1 Villarreal, Rafael H., 1951- A1 Mermin, Jeff, A1 Clark, Timothy B. P., A1 Cooper, Susan M., A1 Roberts, Paul, 1945- A1 Yao, Yongwei, A1 Hummel, Livia, A1 Leuschke, Graham J., 1973- YR 2012 FD ©2012 SP 1 online resource (xii, 364 pages) K1 Commutative algebra K1 Algebra K1 MATHEMATICS -- Algebra -- Intermediate K1 Commutative algebra K1 Electronic books K1 Electronic books PB De Gruyter PP Berlin ; Boston SN 9783110250404 SN 3110250403 SN 9783112190203 SN 3112190203 SN 9783110250343 SN 3110250349 SN 1280570326 SN 9781280570322 SN 9786613599926 SN 6613599921 LA English (英語) CL DC23:512 NO 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 NO Open Access NO In English NO Includes bibliographical references at chapter ends NO Print version record NO 書誌ID=ED00003290; LK [E Book]https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=456794 OL 30