FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 2، فروردین 2023، صفحه 245-258 اصل مقاله (154.77 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.10587.1524 | ||
| نویسندگان | ||
| F. Dehghani-Zadeh* 1؛ A.R. Hajikarimi2 | ||
| 1Department of Mathematics, Islamic Azad University, Yazd branch, Yazd, Iran. | ||
| 2Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Isfahan, Iran. | ||
| چکیده | ||
| Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local cohomology module H_φ^i (M, N) , in certain cases. | ||
| کلیدواژهها | ||
| Minimax modules؛ faltings؛ generalized local cohomology modules | ||
| مراجع | ||
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