Geodesic
Cohen-Macaulay flat dimension and local homology modules
Fatemeh Mohammadi Aghjeh Mashhad1 ; Fatemeh Mohammadi Aghjeh Mashhad
1Parand Branch, Islamic Azad University, Tehran, Iran
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 77-86 
Fatemeh Mohammadi Aghjeh Mashhad; Fatemeh Mohammadi Aghjeh Mashhad. Cohen-Macaulay flat dimension and local homology modules. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 77-86. http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a6/
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     author = {Fatemeh Mohammadi Aghjeh Mashhad and Fatemeh Mohammadi Aghjeh Mashhad},
     title = { Cohen-Macaulay flat dimension and local homology modules},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {77--86},
     year = {2019},
     volume = {88},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let a be an ideal of a commutative Noetherian ring R, M a nitely generated R-modulewith nite at dimension and N an arbitrary R-module with nite Cohen-Macaulay at dimension.We prove that the generalized local homology module H^a_i(M, N) = 0 for each i larger than the Cohen-Macaulay at dimension of N. As an application, we present a characterization for regularity of localrings having dualizing modules.