THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES | ||
Journal of Algebraic Systems | ||
مقاله 1، دوره 3، شماره 1، آذر 2015، صفحه 1-10 اصل مقاله (186.43 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2015.482 | ||
نویسندگان | ||
M. Aghapournahr* 1؛ Kh. Ahmadi-amoli2؛ M. Sadeghi2 | ||
1Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8- 8349, Iran. | ||
2Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran. | ||
چکیده | ||
We introduce a generalization of the notion of depth of an ideal on a module by applying the concept of local cohomology modules with respect to a pair of ideals. We also introduce the concept of $(I,J)$-Cohen--Macaulay modules as a generalization of concept of Cohen--Macaulay modules. These kind of modules are different from Cohen--Macaulay modules, as an example shows. Also an artinian result for such modules is given. | ||
کلیدواژهها | ||
local cohomology modules defined by a pair of ideals؛ system of ideals؛ depth of a pair of ideals؛ $(I؛ J)$-Cohen--Macaulay modules | ||
آمار تعداد مشاهده مقاله: 2,343 تعداد دریافت فایل اصل مقاله: 1,609 |