ArticleOriginal scientific text
Title
General local cohomology modules and Koszul homology modules
Authors 1, 1
Affiliations
- Institute for Studies in Theoretical Physics and Mathematics P.O. Box 19395-1795 Tehran, Iran
Bibliography
- M. H. Bijan-Zadeh, Torsion theories and local cohomology over commutative Noetherian rings, J. London Math. Soc. 19 (1979), 402-410.
- M. H. Bijan-Zadeh, A common generalization of local cohomology theories, Glasgow Math. J. 21 (1980), 173-181.
- M. H. Bijan-Zadeh, Modules of generalized fractions and general local cohomology modules, Arch. Math. (Basel) 48 (1987), 58-62.
- W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge, 1993.
- E. S. Golod, Modules of generalized fractions, Koszul complex, and local cohomology, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986, no. 6, 7-13, 86 (in Russian); English transl.: Moscow Univ. Math. Bull. 41 (1986), no. 3, 6-13.
- M. A. Hamieh and R. Y. Sharp, Krull dimension and generalized fractions, Proc. Edinburgh Math. Soc. 28 (1985), 349-353.
- U. Nagel and P. Schenzel, Cohomological annihilators and Castelnuovo-Mumford regularity, in: Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra (South Hadley, Mass., 1992), Contemp. Math. 159, Amer. Math. Soc., Providence, R.I., 1994, 307-328.
- L. O'Carroll, On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417-427.
- J. Rotman, An Introduction to Homological Algebra, Academic Press, New York, 1979.
- P. Schenzel, N. V. Trung und N. T. Cuong, Verallgemeinerte Cohen-Macaulay-Moduln, Math. Nachr. 85 (1978), 57-73.
- R. Y. Sharp and H. Zakeri, Modules of generalized fractions, Mathematika 29 (1982), 32-41.
- R. Y. Sharp and H. Zakeri, Local cohomology and modules of generalized fractions, ibid., 296-306.
- J. Stückrad and W. Vogel, Buchsbaum Rings and Applications, Deutscher Verlag der Wiss., Berlin, 1986.
- H. Zakeri, Modules of generalized fractions and their application in commutative algebra, Ph.D. thesis, University of Sheffield, 1982.