General local cohomology modules and Koszul homology modules
Khashyarmanesh, K. ; Salarian, Sh.
Colloquium Mathematicae, Tome 78 (1998), p. 305-313 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210592
@article{bwmeta1.element.bwnjournal-article-cmv77z2p305bwm,
     author = {K. Khashyarmanesh and Sh. Salarian},
     title = {General local cohomology modules and Koszul homology modules},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {305-313},
     zbl = {0911.13005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv77z2p305bwm}
}
Khashyarmanesh, K.; Salarian, Sh. General local cohomology modules and Koszul homology modules. Colloquium Mathematicae, Tome 78 (1998) pp. 305-313. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv77z2p305bwm/

[000] [1] M. H. Bijan-Zadeh, Torsion theories and local cohomology over commutative Noetherian rings, J. London Math. Soc. 19 (1979), 402-410. | Zbl 0404.13010

[001] [2] M. H. Bijan-Zadeh, A common generalization of local cohomology theories, Glasgow Math. J. 21 (1980), 173-181.

[002] [3] M. H. Bijan-Zadeh, Modules of generalized fractions and general local cohomology modules, Arch. Math. (Basel) 48 (1987), 58-62. | Zbl 0601.13007

[003] [4] W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge, 1993.

[004] [5] 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. | Zbl 0614.13007

[005] [6] M. A. Hamieh and R. Y. Sharp, Krull dimension and generalized fractions, Proc. Edinburgh Math. Soc. 28 (1985), 349-353. | Zbl 0586.13008

[006] [7] 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.

[007] [8] L. O'Carroll, On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417-427. | Zbl 0497.13007

[008] [9] J. Rotman, An Introduction to Homological Algebra, Academic Press, New York, 1979. | Zbl 0441.18018

[009] [10] P. Schenzel, N. V. Trung und N. T. Cuong, Verallgemeinerte Cohen-Macaulay-Moduln, Math. Nachr. 85 (1978), 57-73.

[010] [11] R. Y. Sharp and H. Zakeri, Modules of generalized fractions, Mathematika 29 (1982), 32-41. | Zbl 0497.13006

[011] [12] R. Y. Sharp and H. Zakeri, Local cohomology and modules of generalized fractions, ibid., 296-306. | Zbl 0523.13001

[012] [13] J. Stückrad and W. Vogel, Buchsbaum Rings and Applications, Deutscher Verlag der Wiss., Berlin, 1986. | Zbl 0606.13017

[013] [14] H. Zakeri, Modules of generalized fractions and their application in commutative algebra, Ph.D. thesis, University of Sheffield, 1982.