Export citation

Show simple item record

dc.contributor.authorSather-Wagstaff, Sean*
dc.contributor.authorFrancisco, Christopher*
dc.contributor.authorVassilev, Janet C.*
dc.contributor.authorKlingler, Lee C.*
dc.date.accessioned2021-02-12T00:09:15Z
dc.date.available2021-02-12T00:09:15Z
dc.date.issued2012*
dc.date.submitted2019-04-25 11:21:03*
dc.identifier33198*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/57155
dc.description.abstractThis 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 art*
dc.languageEnglish*
dc.relation.ispartofseriesDe Gruyter Proceedings in Mathematics*
dc.subjectQA1-939*
dc.subject.otherCommutative Algebra*
dc.subject.otherHomology*
dc.subject.otherCombinatorics*
dc.titleProgress in Commutative Algebra 1. Combinatorics and Homology*
dc.typebook
oapen.identifier.doi10.1515/9783110250404*
oapen.relation.isPublishedByaf2fbfcc-ee87-43d8-a035-afb9d7eef6a5*
virtual.oapen_relation_isPublishedBy.publisher_nameDe Gruyter
virtual.oapen_relation_isPublishedBy.publisher_websitehttp://www.degruyter.com/
oapen.relation.isFundedBy969f21b5-ac00-4517-9de2-44973eec6874*
virtual.oapen_relation_isFundedBy.grantor_name Knowledge Unlatched
oapen.relation.isbn9783110250404*
oapen.pages372*
oapen.grant.number102374
oapen.edition2*


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/