Hostname: page-component-7479d7b7d-qlrfm Total loading time: 0 Render date: 2024-07-11T13:30:23.420Z Has data issue: false hasContentIssue false

Comparison of complexes of modules of generalized fractions and generalized Hughes complexes

Published online by Cambridge University Press:  18 May 2009

R. Y. Sharp
Affiliation:
Department of Pure Mathematics, University of SheffieldHicks Building, Sheffield S3 7RH
M. Tousi
Affiliation:
Department of Mathematics, Faculty of Science, Tehran University, Enghelab Avenue, Tehran, Iran
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let R be a commutative ring (with non-zero identity) and let M be an R-module.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

References

REFERENCES

1.Bijan-Zadeh, M. H., A common generalization of local cohomology theories, Glasgow Math. J. 21 (1980), 173181.CrossRefGoogle Scholar
2.Bijan-Zadeh, M. H., Modules of generalized fractions and general local cohomology modules, Arch. Math. (Basel) 48 (1987), 5862.CrossRefGoogle Scholar
3.Heinzer, W. and Lantz, D., TV-rings and ACC on colon ideals, J. Pure Appl. Algebra 32 (1984), 115127.CrossRefGoogle Scholar
4.Hughes, K. R., A grade-theoretic analogue of the Cousin complex. Classical and categorical algebra (Durban, 1985), Quaestiones Math. 9 (1986), 293300.Google Scholar
5.O'Carroll, L., On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417427.Google Scholar
6.Sharp, R. Y. and Yassi, M., Generalized fractions and Hughes' grade-theoretic analogue of the Cousin complex, Glasgow Math. J. 32 (1990), 173188.CrossRefGoogle Scholar
7.Sharp, R. Y. and Zakeri, H., Modules of generalized fractions, Mathematika 29 (1982), 3241.CrossRefGoogle Scholar
8.Sharp, R. Y. and Zakeri, H., Local cohomology and modules of generalized fractions, Mathematika 29 (1982), 296306.Google Scholar