Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T23:11:52.406Z Has data issue: false hasContentIssue false
  • English
  • Français

d-sequences, local cohomology modules and generalized analytic independence

Part of: Commutative algebra: Homological methods

Published online by Cambridge University Press:  26 February 2010

H. Zakeri
H. Zakeri
Affiliation:
Department of Pure Mathematics, The University, Sheffield. S3 7RH
Get access

Extract

Throughout this paper A is a commutative noetherian ring (with identity) and M is an A-module. We use to denote, for i ≥ 0, the i-th right derived functor of the local cohomology functor L with respect to an ideal a of A [8; 2.1].

MSC classification

Secondary: 13D03: (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
Type
Research Article
Information
Mathematika , Volume 33 , Issue 2 , December 1986 , pp. 279 - 284
Copyright
Copyright © University College London 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Barshay, J.. Generalized analytic independence. Proc. Amer. Math. Soc., 58 (1976), 32–36.CrossRefGoogle Scholar
2Goto, S. and Yamagishi, K.. The theory of unconditioned strong d-sequences and modules of finite local cohomology. Preprint.Google Scholar
3Herzog, J., Simis, A. and Vasconcelos, W. V.. Approximation complexes of blowing-up rings II. J. Algebra, 82 (1983), 53–83.CrossRefGoogle Scholar
4Huneke, C.. The theory of d-sequences and powers of ideals. Advan. in Math, 46 (1982), 249–279.CrossRefGoogle Scholar
5Northcott, D. G.. Ideal theory (Cambridge University Press, Cambridge, 1953).CrossRefGoogle Scholar
6O”Carroll, L.. On the generalized fractions of Sharp and Zakeri. J. London Math. Soc. (2), 28 (1983), 417–427.CrossRefGoogle Scholar
7Riley, A. M.. Complexes of modules of generalized fractions. Thesis (Univ. of Sheffield, 1983).Google Scholar
8Sharp, R. Y.. Local cohomology theory in commutative algebra. Quart. J. Math. Oxford (2), 21 (1970), 425–434.CrossRefGoogle Scholar
9Sharp, R. Y. and Zakeri, H.. Modules of generalized fractions. Mathematika, 29 (1982), 32–41.CrossRefGoogle Scholar
10Sharp, R. Y. and Zakeri, H.. Local cohomology and modules of generalized fractions. Mathematika, 29 (1982), 296–306.CrossRefGoogle Scholar
11Sharp, R. Y. and Zakeri, H.. Generalized fractions, Buchsbaum modules and generalized Cohen-Macaulay modules. Math. Proc. Camb. Phil. Soc., 98 (1985), 429–436.CrossRefGoogle Scholar