Geodesic
Local Cohomology Modules and Relative Cohen-Macaulayness
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 197-205

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Let (R, m) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal a of R and give some results on such rings in relation with Artinianness, Non-Artinianness of local cohomology modules and Lyubeznik numbers. We also present some related examples to this issue.
Keywords: local cohomology modules, Lyubeznik numbers, Non-Artinian modules, relative Cohen-Macaulayness 
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Zohouri, M. Mast. Local Cohomology Modules and Relative Cohen-Macaulayness. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 197-205. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_2_a2/