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Commutative algebra : [electronic resource] syzygies, multiplicities, and birational algebra / William J. Heinzer, Craig L. Huneke, Judith D. Sally, editors.

By: AMS-IMS-SIAM Summer Research Conference on Commutative Algebra (1992 : Mount Holyoke College)Contributor(s): Heinzer, William J | Huneke, C. (Craig) | Sally, Judith DMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 159.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (vii, 444 p. : ill.)ISBN: 9780821877500 (online)Subject(s): Commutative algebra -- CongressesAdditional physical formats: Commutative algebra :DDC classification: 512/.24 LOC classification: QA251.3 | .C657 1992Online resources: Contents | Contents

Contents:

Grothendieck's localization problem / Luchezar L. Avramov and Hans-Bj�rn Foxby -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01498 A simple proof of Grothendieck's theorem on the parafactoriality of local rings / Frederick Call and Gennady Lyubeznik -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01500 Resolutions with a given Hilbert function / Hara Charalambous and E. Graham Evans, Jr. -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01501 Complete ideals in algebra and geometry / Steven Dale Cutkosky -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01502 On the Cohen-Macaulay type of perfect ideals / J. Elias, A. V. Geramita and G. Valla -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01503 On the Gorensteinness of graded rings associated to ideals of analytic deviation one / Shiro Goto and Yukio Nakamura -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01504 Prime ideals in birational extensions of polynomial rings / William J. Heinzer, David Lantz and Sylvia M. Wiegand -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01505 On the index of a homogeneous Gorenstein ring / J�urgen Herzog -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01506 Solid closure / Melvin Hochster -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01508 Tight closure in equal characteristic, big Cohen-Macaulay algebras, and solid closure / Melvin Hochster -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01507 Indecomposable canonical modules and connectedness / Melvin Hochster and Craig Huneke -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01509 Multiplicities in graded rings. I. The general theory / D. Kirby and D. Rees -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01510 Pfaffian identities, with applications to free resolutions, DG-algebras, and algebras with straightening law / Andrew R. Kustin -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01511 Proximity inequalities for complete ideals in two-dimensional regular local rings / Joseph Lipman -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01512 Cohomological annihilators and Castelnuovo-Mumford regularity / Uwe Nagel and Peter Schenzel -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01516 Local-global principle for annihilation of local cohomology / K. N. Raghavan -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01513 Multiplicities and Chern classes / Paul C. Roberts -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01514 A computation of local cohomology / Paul C. Roberts -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01515 Algebra structures for graded free resolutions / Hema Srinivasan -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01517 Primary decompositions of powers of ideals / Irena Swanson -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01518 Artin-Nagata properties and reductions of ideals / Bernd Ulrich -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01519 Hilbert functions, analytic spread, and Koszul homology / Wolmer V. Vasconcelos -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01520 Infinite cyclic covers of strongly $F$-regular rings / Keiichi Watanabe -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01521 Torsion in Picard groups of affine rings / Roger Wiegand -- http://www.ams.org/conm/159/ http://dx.doi.org/10.1090/conm/159/01522

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"The conference Commutative Algebra: Syzygies, Multiplicities and Birational Algebra was one of the 1992 AMS-SIAM-IMS Summer Research Conferences in the Mathematical Sciences which were held at Mt. Holyoke College in South Hadley, Massachusetts"--Pref.

Includes bibliographical references.

Grothendieck's localization problem / Luchezar L. Avramov and Hans-Bj�rn Foxby -- A simple proof of Grothendieck's theorem on the parafactoriality of local rings / Frederick Call and Gennady Lyubeznik -- Resolutions with a given Hilbert function / Hara Charalambous and E. Graham Evans, Jr. -- Complete ideals in algebra and geometry / Steven Dale Cutkosky -- On the Cohen-Macaulay type of perfect ideals / J. Elias, A. V. Geramita and G. Valla -- On the Gorensteinness of graded rings associated to ideals of analytic deviation one / Shiro Goto and Yukio Nakamura -- Prime ideals in birational extensions of polynomial rings / William J. Heinzer, David Lantz and Sylvia M. Wiegand -- On the index of a homogeneous Gorenstein ring / J�urgen Herzog -- Solid closure / Melvin Hochster -- Tight closure in equal characteristic, big Cohen-Macaulay algebras, and solid closure / Melvin Hochster -- Indecomposable canonical modules and connectedness / Melvin Hochster and Craig Huneke -- Multiplicities in graded rings. I. The general theory / D. Kirby and D. Rees -- Pfaffian identities, with applications to free resolutions, DG-algebras, and algebras with straightening law / Andrew R. Kustin -- Proximity inequalities for complete ideals in two-dimensional regular local rings / Joseph Lipman -- Cohomological annihilators and Castelnuovo-Mumford regularity / Uwe Nagel and Peter Schenzel -- Local-global principle for annihilation of local cohomology / K. N. Raghavan -- Multiplicities and Chern classes / Paul C. Roberts -- A computation of local cohomology / Paul C. Roberts -- Algebra structures for graded free resolutions / Hema Srinivasan -- Primary decompositions of powers of ideals / Irena Swanson -- Artin-Nagata properties and reductions of ideals / Bernd Ulrich -- Hilbert functions, analytic spread, and Koszul homology / Wolmer V. Vasconcelos -- Infinite cyclic covers of strongly $F$-regular rings / Keiichi Watanabe -- Torsion in Picard groups of affine rings / Roger Wiegand --