Local cohomology and the Cousin complex for a commutative Noetherian ring
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Keywords
Noetherian Ring Local Cohomology Commutative Noetherian Ring Cousin Complex
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References
- 1.Bertin, M.-J.: Anneaux d'invariants d'anneaux de polynomes, en caractéristiquep. C.R. Acad. Sci., Paris264, 653–656 (1967)Google Scholar
- 2.Fossum, R.M.: The divisor class group of a Krull domain. Berlin-Heidelberg-New York: Springer 1973Google Scholar
- 3.Fossum, R.M., Foxby, H.-B., Griffith, P., Reiten, I.: Minimal injective resolutions with applications to dualizing modules and Gorenstein modules. Inst. Haut. Étud. Sci., Publ. Math.45, 193–215 (1975)Google Scholar
- 4.Grothendieck, A.: Local cohomology. Lecture Notes in Mathematics No. 41. Berlin-Heidelberg-New York: Springer 1967Google Scholar
- 5.Macdonald, I.G., Sharp, R.Y.: An elementary proof of the non-vanishing of certain local cohomology modules. Quart J. Math., Oxford II. Ser.23, 197–204 (1972)Google Scholar
- 6.Matlis, E.: Injective modules over Noetherian rings. Pacific J. Math.8, 511–528 (1958)Google Scholar
- 7.Sharp, R.Y.: The Cousin complex for a module over a commutative Noetherian ring. Math. Z.112, 340–356 (1969)Google Scholar
- 8.Sharp, R.Y.: Local cohomology theory in commutative algebra. Quart. J. Math., Oxford II. Ser.21, 425–434 (1970)Google Scholar
- 9.Sharp, R.Y.: On Gorenstein modules over a complete Cohen-Macaulay local ring. Quart. J. Math., Oxford II. Ser.22, 425–434 (1971)Google Scholar
- 10.Sharp, R.Y.: Some results on the vanishing of local cohomology modules.Proc. London Math. Soc., III.Ser.30, 177–195 (1975)Google Scholar
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