Graham J. Leuschke Progress in Commutative Algebra 1 (Hardback)

Description: Further DetailsTitle: Progress in Commutative Algebra 1Condition: NewSubtitle: Combinatorics and HomologyISBN-10: 3110250349EAN: 9783110250343ISBN: 9783110250343Publisher: De GruyterFormat: HardbackRelease Date: 04/16/2012Description: 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. Specifically, one can use combinatorial techniques to investigate resolutions and other algebraic structures as with the papers of Fløystad on Boij-Söderburg theory, of Geramita, Harbourne and Migliore, and of Cooper on Hilbert functions, of Clark on minimal poset resolutions and of Mermin on simplicial resolutions. One can also utilize algebraic invariants to understand combinatorial structures like graphs, hypergraphs, and simplicial complexes such as in the paper of Morey and Villarreal on edge ideals. 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 (as described in the previous paragraph). The homological articles the editors have included in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian such as in the papers by Roberts, Yao, Hummel and Leuschke.Language: EnglishCountry/Region of Manufacture: DEItem Height: 240mmItem Length: 170mmItem Weight: 765gContributor: Timothy B. P. Clark (Edited by), Susan M. Cooper (Edited by), Sean Sather-Wagstaff (Edited by), Anthony V. Geramita (Edited by), Brian Harbourne (Contributions by), Susan M. Cooper (Contributions by), Graham J. Leuschke (Contributions by), Anthony V. Geramita (Contributions by), Juan C. Migliore (Contributions by), Livia Hummel (Contributions by), Paul C. Roberts (Contributions by), Jeff Mermin (Contributions by), Christopher Francisco (Contributions by), Sean Sather-Wagstaff (Contributions by), Janet C. Vassilev (Contributions by)Genre: Science Nature & MathBook Series: De Gruyter Proceedings in MathematicsAuthor: Graham J. LeuschkeRelease Year: 2012 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.

Price: 394.32 USD

Location: 60502

End Time: 2024-12-29T10:40:17.000Z

Shipping Cost: 0 USD