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Commutative Algebra

Proceedings of a Microprogram Held June 15–July 2, 1987

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. M. Hochster

    1. Department of Mathematics, Univeristy of Michigan, Ann Arbor, USA

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  2. C. Huneke

    1. Department of Mathematics, Purdue University, West Lafayette, USA
      Mathematical Sciences Research Institute, Berkeley, USA

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  3. J. D. Sally

    1. Department of Mathematics, Northwestern University, Evanston, USA

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Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 15)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Representations, Resolutions and Intertwining Numbers

    • Kaan Akin, David A. Buchsbaum
    Pages 1-19

  3. Cohen-Macaulay Modules for Graded Cohen-Macaulay Rings and their Completions

    • Maurice Auslander, Idun Reiten
    Pages 21-31

  4. Homological Asymptotics of Modules over Local Rings

    • Luchezar L. Avramov
    Pages 33-62

  5. On Ulrich-Modules over Hypersurface Rings

    • Jörgen Backelin, Jürgen Herzog
    Pages 63-68

  6. Differential Structure of Étale Extensions of Polynomial Algebras

    • Hyman Bass
    Pages 69-109

  7. Additions to the Theory of Algebras with Straightening Law

    • Winfried Bruns
    Pages 111-138

  8. Syzygies and Homological Conjectures

    • S. P. Dutta
    Pages 139-156

  9. Remarks on Points in a Projective Space

    • David Eisenbud, Jee-Heub Koh
    Pages 157-172

  10. Rank Varieties of Matrices

    • David Eisenbud, David Saltman
    Pages 173-212

  11. Order Ideals

    • E. Graham Evans Jr., Phillip A. Griffith
    Pages 213-225

  12. A Characterization of F-Regularity in Terms of F-Purity

    • Richard Fedder, Kei-Ichi Watanabe
    Pages 227-245

  13. Surface Singularities of Finite Buchsbaum-Representation Type

    • Shiro Goto
    Pages 247-263

  14. Some Transcendence Degree Questions

    • Eloise Hamann
    Pages 265-277

  15. Exceptional Prime Divisors of Two-dimensional Local Domains

    • William Heinzer, David Lantz
    Pages 279-304

  16. Tight Closure

    • Melvin Hochster, Craig Huneke
    Pages 305-324

  17. Complete Ideals in Two-Dimensional Regular Local Rings

    • Craig Huneke
    Pages 325-338

  18. Powers of Licci Ideals

    • C. Huneke, B. Ulrich
    Pages 339-346

  19. The Hilbert Function of a Gorenstein Artin Algebra

    • A. Iarrobino
    Pages 347-364

  20. On Unramifying Transcendence Base

    • Wei-Eihn Kuan, Christel Rotthaus
    Pages 365-373
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Keywords

About this book

During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley. The intent of the microprogram was to survey recent major results and current trends in the theory of commutative rings, especially commutative Noetherian rings. There was enthusiastic international participation. The papers in this volume, some of which are expository, some strictly research, and some a combination, reflect the intent of the program. They give a cross-section of what is happening now in this area. Nearly all of the manuscripts were solicited from the speakers at the conference, and in most instances the manuscript is based on the conference lecture. The editors hope that they will be of interest and of use both to experts and neophytes in the field. The editors would like to express their appreciation to the director of MSRI, Professor Irving Kaplansky, who first suggested the possibility of such a conference and made the task of organization painless. We would also like to thank the IVISRI staff who were unfailingly efficient, pleasant, and helpful during the meeting, and the manager of MSRI, Arlene Baxter, for her help with this volume. Finally we would like to express our appreciation to David Mostardi who did much of the typing and put the electronic pieces together.

Editors and Affiliations

  • Department of Mathematics, Univeristy of Michigan, Ann Arbor, USA

    M. Hochster

  • Department of Mathematics, Purdue University, West Lafayette, USA

    C. Huneke

  • Mathematical Sciences Research Institute, Berkeley, USA

    C. Huneke

  • Department of Mathematics, Northwestern University, Evanston, USA

    J. D. Sally

Bibliographic Information

  • Book Title: Commutative Algebra

  • Book Subtitle: Proceedings of a Microprogram Held June 15–July 2, 1987

  • Editors: M. Hochster, C. Huneke, J. D. Sally

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4612-3660-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Hardcover ISBN: 978-0-387-96990-9Due: 25 August 1989

  • Softcover ISBN: 978-1-4612-8196-2Published: 12 October 2011

  • eBook ISBN: 978-1-4612-3660-3Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: X, 516

  • Topics: Algebra

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