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Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals | ||
| Journal of Hyperstructures | ||
| دوره 3، شماره 2، اسفند 2014، صفحه 101-107 اصل مقاله (93.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2014.2579 | ||
| نویسندگان | ||
| Sh. Payrovi* 1؛ S. Karim2 | ||
| 1Department of Mathematics, Imam Khomeini International University , P.O.Box 34149-1-6818, Qazvin, Iran | ||
| 2Faculty of Science, Payame Noor University, Tehran, Iran. | ||
| چکیده | ||
| Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to an ideal. Furthermore, we generalize some results of [5] in particular, Theorem 2.8. | ||
| کلیدواژهها | ||
| Attached prime ideals؛ Top local cohomology modules | ||
| مراجع | ||
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[1] M. H. Bijan-Zadeh, Torsion theories and local cohomology over commutative Noetherian rings, J. London Math. Soc. (2), 19, (1979), 402-410. [2] M. P. Brodmann and R. Y. Sharp, Local cohomology: an algebraic introduction with geometric applications, Cambridge University Press, Cambridge, (1998). [3] L. Chu, Top local cohomology modules with respect to a pair of ideals, Proc.Amer. Math. Soc., 139, (2011), 777-782. [4] L. Z. Chue and Q. Wang, Some result on local cohomology modules defined by a pair of ideals, J. Math. Kyoto Univ. 49 (2009) 193-200. MR2531134 (2010e:13013) [5] M. T. Dibaei and R. Jafari, Top local cohomology modules with specified at-tached primes, Algebra Colloq., 15, (2008), 341-344. [6] M. T. Dibaei and S. Yassemi, Attached primes of the top local cohomology modules with respect to an ideal, Arch. Math., 84, (2005), no. 4, 292-297. [7] R. Takahashi, Y. Yoshino and T. Yoshizawa, Local cohomology based on a non-closed support defined by a pair of ideals, J. Pure Appl. Algebra, 213, (2009), 582-600. | ||
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