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Commutative Algebra
Durham 1981

Part of London Mathematical Society Lecture Note Series

E. G. Evans, Phillip Griffith, Hans-Bjørn Foxby, Melvin Hochster, G. Horrocks, R. Y. Sharp, H. Zakeri, L. Szpiro, Kaan Ankin, David A. Buschsbaum, Winfried Bruns, D. G. Northcott, Shiro Goto, J. Herzog, D. Rees, Jan-Erik Roos, Judith D. Sally
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  • Date Published: January 1983
  • availability: Available
  • format: Paperback
  • isbn: 9780521271257

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About the Authors
  • This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.

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    Product details

    • Date Published: January 1983
    • format: Paperback
    • isbn: 9780521271257
    • length: 264 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.39kg
    • availability: Available
  • Table of Contents

    Preface
    Addresses of contributors
    List of participants
    Part I. The Local Homological Conjectures, Big Cohen–Macaulay Modules, and Related Topics:
    1. The syzygy problem: a new proof and historical perspective E. G. Evans and Phillip Griffith
    2. The theory of homological dimensions of complexes Hans-Bjørn Foxby
    3. Complexes of injective modules Hans-Bjørn Foxby
    4. The local homological conjectures Melvin Hochster
    5. The rank of a module G. Horrocks
    6. Modules of generalized fractions and balanced big Cohen–Macaulay modules R. Y. Sharp and H. Zakeri
    7. Sur la théorie des complexes parfaits L. Szpiro
    Part II. Determinantal Ideals, Finite Free Resolutions, and Related Topics:
    8. Some exact complexes and filtrations related to certain special Young diagrams Kaan Ankin and David A. Buschsbaum
    9. The canonical module of a determinantal ring Winfried Bruns
    10. The MacRae invariant Hans-Bjørn Foxby
    11. Finite free resolutions and some basic concepts of commutative algebra D. G. Northcott
    Part III. Multiplicity Theory, Hilbert and Poincaré Series, Associated Graded Rings, and Related Topics:
    12. Blowing-up of Buschsbaum rings Shiro Goto
    13. Necessary conditions for an analytical algebra to be strict J. Herzog
    14. Multiplicities, Hilbert functions and degree functions D. Rees
    15. Finiteness conditions in commutative algebra and solution of a problem of Vasconcelos Jan-Erik Roos
    16. On the use of graded Lie algebras in the theory of local tings Jan-Erik Roos
    17. Reductions, local cohomology and Hilbert functions of local rings Judith D. Sally
    Further problems.

  • Editor

    R. Y. Sharp, University of Sheffield

    Contributors

    E. G. Evans, Phillip Griffith, Hans-Bjørn Foxby, Melvin Hochster, G. Horrocks, R. Y. Sharp, H. Zakeri, L. Szpiro, Kaan Ankin, David A. Buschsbaum, Winfried Bruns, D. G. Northcott, Shiro Goto, J. Herzog, D. Rees, Jan-Erik Roos, Judith D. Sally

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