Geodesic
On the radical of the annihilators of local cohomology modules
Shahram Rezaei1 ; Shahram Rezaei
1Shahram Rezaei, Payame Noor University(PNU), Thehran
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 309-315 
Shahram Rezaei; Shahram Rezaei. On the radical of the annihilators of local cohomology modules. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 309-315. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a13/
@article{AMUC_2018_87_2_a13,
     author = {Shahram Rezaei and Shahram Rezaei},
     title = { On the radical of the annihilators of local cohomology modules},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {309--315},
     year = {2018},
     volume = {87},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a13/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let R be a noetherian ring, M a non-zero nitely generated R-module of dimension d. Let cd(a;M) = d. In this paper we calculate the rad-ical of the annihilator of the top local cohomology module Hda(M). In fact, we prove that there exists a submodule S_R(a;M) of M such that √Ann_R(H^d_a(M)) = Ann_R(M/S_R(a;M)). By using this result we show that for a complete local ring(R;m) we have Att_R(H^d_a(M)) = Min Supp_R(M/S_R(a;M)).