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Commutative algebra : Durham 1981

Author: R Y Sharp
Publisher: Cambridge ; New York : Cambridge University Press, 1982.
Series: London Mathematical Society lecture note series, 72.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Commutative algebra.
Cambridge ; New York : Cambridge University Press, 1982
(DLC) 82012781
(OCoLC)8590094
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R Y Sharp
ISBN: 9781107087255 1107087252 9781107325517 110732551X
OCLC Number: 846492936
Language Note: English.
Description: 1 online resource (xii, 250 pages).
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-Bjorn Foxby; 3. Complexes of injective modules Hans-Bjorn 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 theorie 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-Bjorn Foxby; 11. Finite free resolutions and some basic concepts of commutative algebra D. G. Northcott; Part III. Multiplicity Theory, Hilbert and Poincare 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.
Series Title: London Mathematical Society lecture note series, 72.
Responsibility: edited by R.Y. Sharp.

Abstract:

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  Read more...

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