000 06828nam a22009375i 4500
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003 DE-B1597
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006 m|||||o||d||||||||
007 cr || ||||||||
008 190708s2012 gw fo d z eng d
020 _a9783110250404
024 7 _a10.1515/9783110250404
_2doi
035 _a(DE-B1597)123218
035 _a(OCoLC)795120008
035 _a(OCoLC)853262028
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
050 4 _aQA251.3
_b.P76 2012eb
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512
_223
245 0 0 _aProgress in Commutative Algebra 1 :
_bCombinatorics and Homology /
_cSean Sather-Wagstaff, Christopher Francisco, Lee C. Klingler, Janet C. Vassilev.
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2012]
264 4 _c©2012
300 _a1 online resource (372 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aDe Gruyter Proceedings in Mathematics
505 0 0 _t Frontmatter --
_tPreface --
_tTable of Contents --
_tBoij-Söderberg Theory: Introduction and Survey /
_rFløystad, Gunnar --
_tHilbert Functions of Fat Point Subschemes of the Plane: the Two-fold Way /
_rGeramita, Anthony V. / Harbourne, Brian / Migliore, Juan C. --
_tEdge Ideals: Algebraic and Combinatorial Properties /
_rMorey, Susan / Villarreal, Rafael H. --
_tThree Simplicial Resolutions /
_rMermin, Jeff --
_tA Minimal Poset Resolution of Stable Ideals /
_rClark, Timothy B. P. --
_tSubsets of Complete Intersections and the EGH Conjecture /
_rCooper, Susan M. --
_tThe Homological Conjectures /
_rRoberts, Paul C. --
_tThe Compatibility, Independence, and Linear Growth Properties /
_rYao, Yongwei --
_tRecent Progress in Coherent Rings: a Homological Perspective /
_rHummel, Livia --
_tNon-commutative Crepant Resolutions: Scenes From Categorical Geometry /
_rLeuschke, Graham J.
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThis 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.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
_uhttps://creativecommons.org/licenses/by-nc-nd/4.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650 0 _aCommutative algebra.
650 4 _aCombinatirics.
650 4 _aCombinatorics.
650 4 _aCommutative Algebra.
650 4 _aHomology.
650 4 _aNoetherian ring.
650 4 _anon-Noetherian ring.
650 7 _aMATHEMATICS / Algebra / Abstract.
_2bisacsh
700 1 _aClark, Timothy B. P.
700 1 _aCooper, Susan M.
700 1 _aFløystad, Gunnar.
700 1 _aFrancisco, Christopher,
_eeditor.
700 1 _aGeramita, Anthony V.
700 1 _aHarbourne, Brian.
700 1 _aHummel, Livia.
700 1 _aKlingler, Lee C.,
_eeditor.
700 1 _aLeuschke, Graham J.
700 1 _aMermin, Jeff.
700 1 _aMigliore, Juan C.
700 1 _aMorey, Susan.
700 1 _aRoberts, Paul C.
700 1 _aSather-Wagstaff, Sean,
_eeditor.
700 1 _aVassilev, Janet C.,
_eeditor.
700 1 _aVillarreal Rodríguez, Rafael Heraclio.
700 1 _aYao, Yongwei.
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Complete English Language 2000-2014 PART1
_z9783110238570
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Mathematics English Language 2000-2014
_z9783110238471
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Mathematics 2000 - 2014
_z9783110637205
_oZDB-23-GMA
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012
_z9783110288995
_oZDB-23-DGG
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012
_z9783110293722
_oZDB-23-DMI
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012
_z9783110288926
_oZDB-23-DMP
776 0 _cprint
_z9783110250343
856 4 0 _uhttps://doi.org/10.1515/9783110250404
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110250404.jpg
912 _a978-3-11-023847-1 DGBA Backlist Mathematics English Language 2000-2014
_c2000
_d2014
912 _aDGBA Backlist Complete English Language 2000-2014
_c2000
_d2014
912 _aGBV-deGruyter-alles
912 _aZDB-23-DGG
_b2012
912 _aZDB-23-DMI
_b2012
912 _aZDB-23-DMP
_b2012
912 _aZDB-23-GMA
_c2000
_d2014
912 _aZDB-23-GOA
999 _c534930
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