A new version of Local-Global Principle for annihilations of local cohomology modules

K. Khashyarmanesh; M. Yassi; A. Abbasi

K. Khashyarmanesh ; M. Yassi ; A. Abbasi

Colloquium Mathematicae, Tome 100 (2004), p. 213-219 / Harvested from The Polish Digital Mathematics Library

Résumé

Let R be a commutative Noetherian ring. Let and be ideals of R and let N be a finitely generated R-module. We introduce a generalization of the -finiteness dimension of $f_{}^{} (N)$ relative to in the context of generalized local cohomology modules as $f_{}^{} (M, N) : = i n f i \geq 0 | \subseteq \sqrt (0 :_{R} H_{}^{i} (M, N))$ , where M is an R-module. We also show that $f_{}^{} (N) \leq f_{}^{} (M, N)$ for any R-module M. This yields a new version of the Local-Global Principle for annihilation of local cohomology modules. Moreover, we obtain a generalization of the Faltings Lemma.

Publié le : 2004-01-01

Zbl 1102.13017

EUDML-ID : urn:eudml:doc:284367

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-2-5,
     author = {K. Khashyarmanesh and M. Yassi and A. Abbasi},
     title = {A new version of Local-Global Principle for annihilations of local cohomology modules},
     journal = {Colloquium Mathematicae},
     volume = {100},
     year = {2004},
     pages = {213-219},
     zbl = {1102.13017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-2-5}
}

K. Khashyarmanesh; M. Yassi; A. Abbasi. A new version of Local-Global Principle for annihilations of local cohomology modules. Colloquium Mathematicae, Tome 100 (2004) pp. 213-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-2-5/