Commutative algebra : Durham 1981 / edited by R.Y. Sharp.

Format:

Book

Contributor:

Sharp, R. Y.

Series:

London Mathematical Society lecture note series ; 72.

London Mathematical Society lecture note series ; 72

Language:

English

Subjects (All):

Commutative algebra.

Physical Description:

250 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 1982.

Contents:

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 Evans, E. G., Phillip Griffith Griffith, Phillip

2 The theory of homological dimensions of complexes / Hans-Bjørn Foxby Foxby, Hans-Bjørn

3 Complexes of injective modules / Hans-Bjørn Foxby Foxby, Hans-Bjørn

4 The local homological conjectures / Melvin Hochster Hochster, Melvin

5 The rank of a module / G. Horrocks Horrocks, G.

6 Modules of generalized fractions and balanced big Cohen-Macaulay modules / R. Y. Sharp Sharp, R. Y., H. Zakeri Zakeri, H.

7 Sur la théorie des complexes parfaits / L. Szpiro Szpiro, L.

Part II Determinantal Ideals, Finite Free Resolutions, and Related Topics

8 Some exact complexes and filtrations related to certain special Young diagrams / Kaan Ankin Ankin, Kaan, David A. Buschsbaum Buschsbaum, David A.

9 The canonical module of a determinantal ring / Winfried Bruns Bruns, Winfried

10 The MacRae invariant / Hans-Bjørn Foxby Foxby, Hans-Bjørn

11 Finite free resolutions and some basic concepts of commutative algebra / D. G. Northcott Northcott, D. G.

Part III Multiplicity Theory, Hilbert and Poincaré Series, Associated Graded Rings, and Related Topics

12 Blowing-up of Buschsbaum rings / Shiro Goto Goto, Shiro

13 Necessary conditions for an analytical algebra to be strict / J. Herzog Herzog, J.

14 Multiplicities, Hilbert functions and degree functions / D. Rees Rees, D.

15 Finiteness conditions in commutative algebra and solution of a problem of Vasconcelos / Jan-Erik Roos Roos, Jan-Erik

16 On the use of graded Lie algebras in the theory of local tings / Jan-Erik Roos Roos, Jan-Erik

17 Reductions, local cohomology and Hilbert functions of local rings / Judith D. Sally Sally, Judith D..

Notes:

Includes bibliographical references.

ISBN:

0521271258

OCLC:

8590094