Voir la notice de l'article provenant de la source Library of Science
@article{DMGAA_2016_36_1_a1, author = {Jahangiri, Maryam and Habibi, Zohreh and Amoli, Khadijeh}, title = {On the associated prime ideals of local cohomology modules defined by a pair of ideals}, journal = {Discussiones Mathematicae. General Algebra and Applications}, pages = {15--23}, publisher = {mathdoc}, volume = {36}, number = {1}, year = {2016}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a1/} }
TY - JOUR AU - Jahangiri, Maryam AU - Habibi, Zohreh AU - Amoli, Khadijeh TI - On the associated prime ideals of local cohomology modules defined by a pair of ideals JO - Discussiones Mathematicae. General Algebra and Applications PY - 2016 SP - 15 EP - 23 VL - 36 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a1/ LA - en ID - DMGAA_2016_36_1_a1 ER -
%0 Journal Article %A Jahangiri, Maryam %A Habibi, Zohreh %A Amoli, Khadijeh %T On the associated prime ideals of local cohomology modules defined by a pair of ideals %J Discussiones Mathematicae. General Algebra and Applications %D 2016 %P 15-23 %V 36 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a1/ %G en %F DMGAA_2016_36_1_a1
Jahangiri, Maryam; Habibi, Zohreh; Amoli, Khadijeh. On the associated prime ideals of local cohomology modules defined by a pair of ideals. Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 15-23. http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a1/
[1] M. Aghapournahr, Kh. Ahmadi-Amoli and M.Y. Sadeghi, The concept of (I,J)-cohen Macaulay modules, J. Algebraic Syst. 3 (1) (2015), 1-10.
[2] N. Bourbaki, Commutative Algebra, Translated from French (Hermann, Paris, 1972).
[3] M. Brodmann, Asymptotic behaviour of cohomology: tameness,supports and associated primes, S. Ghorpade, H. Srinivasan, J. Verma (Eds.), 'Commutative Algebra and Algebraic Geometry' Proceedings, Joint International Meeting of the AMS and the IMS on Commutative Algebra and Algebraic Geometry, Bangalore/India, December 17-20, 2003, Contemporary Mathematics 390 (2005) 31-61. doi: 10.1090/conm/390/07292
[4] M.P. Brodmann and A. Lashgari Faghani, A finiteness result for associated primes of local cohomology modules, Proc. Amer. Math. Soc. 128 (10) (2000), 2851-2853. doi: 10.1090/S0002-9939-00-05328-4
[5] M.P. Brodmann and R.Y. Sharp, Local cohomology: An algebraic introduction with geometric applications (Cambridge University Press, 1998). doi: 10.1017/CBO9780511629204
[6] W. Bruns and J. Herzog, Cohen-Macaulay Rings (Cambridge University Press, revised ed., 1998). doi: 10.1017/CBO9780511608681
[7] L. Chu, Top local cohomology modules with respect to a pair of ideals, Proc. Amer. Math. Soc. 139 (2011), 777-782. doi: 10.1090/S0002-9939-2010-10471-9
[8] L. Chu and Q. Wang, Some results on local cohomology modules defined by a pair of ideals, J. Math. Kyoto Univ. bf 49 (2009), 193-200.
[9] R. Hartshorne, Affine duality and cofiniteness, Invent. Math. 9 (1970), 145-164. doi: 10.1007/BF01404554
[10] C. Huneke, Free resolutions in commutative algebra and algebraic geometry, Res. Notes Math. 2, Jones and Bartlett (Boston, MA, 1992), 93-108.
[11] J. Rotman, An Introduction to Homological Algebra (Academic Press, Second Edition, 2009). doi: 10.1007/b98977
[12] P. Schenzel, Explicit computations around the Lichtenbaum-Hartshorne vanishing theorem, Manuscripta Math. 78 (1) (1993), 57-68. doi: 10.1007/BF02599300
[13] A. Singh, P-torsion elements in local cohomology modules (English summary), Math. Res. Lett. 7 (2000), 165-176. doi: 10.4310/MRL.2000.v7.n2.a3
[14] R. Takahashi, Y. Yoshino and T. Yoshizawa, Local cohomology based on a nonclosed support defined by a pair of ideals, J. Pure Appl. Algebra. 213 (2009), 582-600. doi: 10.1016/j.jpaa.2008.09.008
[15] A. Tehranian and A. Pour Eshmanan Talemi, Cofinitness of local cohomology based on a non-closed spport defiend by a pair of ideals, Bull. Iranian Math. Soc. 36 (2) (2010), 145-155.