Geodesic
Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 81-87

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DOI

Let $\mathfrak{a}$ be an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$ -modules. Our main result asserts that if $R/\mathfrak{a}\,\le \,1$ , then all generalized local cohomology modules $H_{\mathfrak{a}}^{i}(M,\,N)$ are $\mathfrak{a}$ -cofinite.
DOI : 10.4153/CMB-2011-046-8
Mots-clés : 13D45, 13E05, 13E10, cofinite modules, generalized local cohomology modules, local cohomology modules 
Divaani-Aazar, Kamran; Hajikarimi, Alireza. Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 81-87. doi: 10.4153/CMB-2011-046-8
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     title = {Cofiniteness of {Generalized} {Local} {Cohomology} {Modules} for {One-Dimensional} {Ideals}},
     journal = {Canadian mathematical bulletin},
     pages = {81--87},
     year = {2012},
     volume = {55},
     number = {1},
     doi = {10.4153/CMB-2011-046-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-046-8/}
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