Geodesic
General formal local cohomology modules
Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 254-266

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Let $(R,\mathfrak{m})$ be a local ring, $\Phi$ a system of ideals of $R$ and $M$ a finitely generated $R$-module. In this paper, we define and study general formal local cohomology modules. We denote the $i$-th general formal local cohomology module $M$ with respect to $\Phi$ by $\mathfrak{F}_{\Phi}^{i}(M)$ and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.
Keywords: formal local cohomology, local cohomology, system of ideals. 
@article{ADM_2020_30_2_a8,
     author = {Sh. Rezaei},
     title = {General formal local cohomology modules},
     journal = {Algebra and discrete mathematics},
     pages = {254--266},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a8/}
}
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Sh. Rezaei. General formal local cohomology modules. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 254-266. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a8/