Geodesic
On the non-vanishing of local cohomology modules
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 585-592 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is shown that for any Artinian modules $M$, $\dim M^{\vee }$ is the greatest integer $i$ such that ${\mbox{H}}^i_{\mathfrak m}(M^{\vee })\ne 0$.
It is shown that for any Artinian modules $M$, $\dim M^{\vee }$ is the greatest integer $i$ such that ${\mbox{H}}^i_{\mathfrak m}(M^{\vee })\ne 0$.
Classification : 13D45, 13E10 
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Yassemi, Siamak. On the non-vanishing of local cohomology modules. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 585-592. http://geodesic.mathdoc.fr/item/CMJ_1997_47_4_a1/

[1] A. Grothendick (notes by R. Hartshorne): Local Cohomology. Lecture Notes in Math. 41, Springer Verlag, 1967. | MR

[2] H.-B. Foxby: A homological theory of complexes of modules. Preprint Series No. 19a & 19b, Dept. of Mathematics, Univ. Copenhagen, 1981.

[3] I.G. Macdonald: Secondary representation of modules over a commutative ring. Symp. Math. XI (1973) 23–43. | MR | Zbl

[4] I. G. Macdonald and R. Y. Sharp: An elementary proof of the non-vanishing of certain local cohomology modules. Quart. J. Math. (Oxford)(2) 23 (1970), 197–204. | DOI | MR

[5] R.Y. Sharp: Local cohomology theory in commutative algebra. Quart. J. Math. (Oxford) (2) 21 (1970), 425–434. | DOI | MR | Zbl

[6] S. Yassemi: Coassociated primes. Comm. Algebra 23 (1995), 1473–1498. | DOI | MR | Zbl

[7] S. Yassemi: Magnitude of modules. Comm. Algebra 23 (1995), 3993–4008. | DOI | MR | Zbl