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003 | OCoLC | ||
005 | 20220517104213.0 | ||
006 | m d | ||
007 | cr cnu---unuuu | ||
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_aProgress in commutative algebra. _n1, _pCombinatorics and homology / _cedited by Christopher Francisco, Lee Klingler, Sean Sather-Wagstaff, [and] Janet C. Vassilev. |
246 | 3 | 0 | _aCombinatorics and homology |
264 | 1 |
_aBerlin ; _aBoston : _bDe Gruyter, _c[2012] |
|
264 | 4 | _c©2012 | |
300 |
_a1 online resource (xii, 364 pages) : _billustrations |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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490 | 1 | _aDe Gruyter Proceedings in Mathematics | |
504 | _aIncludes bibliographical references at chapter ends. | ||
505 | 0 | 0 |
_tBoij-Söderberg theory : introduction and survey / _rGunnar Fløystad -- _tHilbert functions of fat point subschemes of the plane : the two-fold way / _rAnthony V. Geramita, Brian Harbourne and Juan C. Migliore -- _tEdge ideals : algebraic and combinatorial properties / _rSusan Morey and Rafael H. Villarreal -- _tThree simplicial resolutions / _rJeff Mermin -- _tA minimal poset resolution of stable ideals / _rTimothy B.P. Clark -- _tSubsets of complete intersections and the EGH conjecture / _rSusan M. Cooper -- _tThe homological conjectures / _rPaul C. Roberts -- _tThe compatibility, independence, and linear growth properties / _rYongwei Yao -- _tRecent progress in coherent rings : a homological perspective / _rLivia Hummel -- _tNon-commutative crepant resolutions : scenes from categorical geometry / _rGraham J. Leuschke. |
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. 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. | ||
588 | 0 | _aPrint version record. | |
546 | _aIn English. | ||
542 | 1 |
_fThis work is licensed under a Creative Commons license _uhttps://creativecommons.org/licenses/by-nc-nd/4.0/legalcode |
|
506 | 0 |
_aOpen Access _5EbpS |
|
650 | 0 | _aCommutative algebra. | |
650 | 7 |
_aAlgebra. _2bicssc |
|
650 | 7 |
_aMATHEMATICS _xAlgebra _xIntermediate. _2bisacsh _927065 |
|
650 | 7 |
_aCommutative algebra. _2fast _0(OCoLC)fst00871202 |
|
655 | 0 | _aElectronic books. | |
655 | 4 | _aElectronic books. | |
700 | 1 |
_aFrancisco, Christopher, _eeditor. |
|
700 | 1 |
_aKlingler, Lee, _d1955- _eeditor. _927066 |
|
700 | 1 |
_aSather-Wagstaff, Sean, _eeditor. _94647 |
|
700 | 1 |
_aVassilev, Janet Cowden, _d1969- _eeditor. _927067 |
|
700 | 1 |
_aFloystad, Gunnar, _eauthor. _927068 |
|
700 | 1 |
_aGeramita, A. V., _eauthor. _927069 |
|
700 | 1 |
_aHarbourne, Brian, _d1955- _eauthor. _927070 |
|
700 | 1 |
_aMigliore, Juan C. _q(Juan Carlos), _d1956- _eauthor. _927071 |
|
700 | 1 |
_aMorey, Susan, _eauthor. _94654 |
|
700 | 1 |
_aVillarreal, Rafael H., _d1951- _eauthor. _927072 |
|
700 | 1 |
_aMermin, Jeff, _eauthor. _94651 |
|
700 | 1 |
_aClark, Timothy B. P., _eauthor. _94657 |
|
700 | 1 |
_aCooper, Susan M., _eauthor. _94661 |
|
700 | 1 |
_aRoberts, Paul, _d1945- _eauthor. _927073 |
|
700 | 1 |
_aYao, Yongwei, _eauthor. _94649 |
|
700 | 1 |
_aHummel, Livia, _eauthor. _94658 |
|
700 | 1 |
_aLeuschke, Graham J., _d1973- _eauthor. _927074 |
|
776 | 0 | 8 |
_iPrint version: _tProgress in commutative algebra 1, combinatorics and homology. _dBerlin ; Boston : De Gruyter, ©2012 _z9783110250343 |
830 | 0 | _aGruyter Proceedings in Mathematics. | |
856 | 4 | 0 |
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