TY - JOUR ID - 482 TI - THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Aghapournahr, M. AU - Ahmadi-amoli, Kh. AU - Sadeghi, M. AD - Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8- 8349, Iran. AD - Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran. Y1 - 2015 PY - 2015 VL - 3 IS - 1 SP - 1 EP - 10 KW - local cohomology modules defined by a pair of ideals KW - system of ideals KW - depth of a pair of ideals KW - $(I KW - J)$-Cohen--Macaulay modules DO - 10.22044/jas.2015.482 N2 - ‌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. UR - https://jas.shahroodut.ac.ir/article_482.html L1 - https://jas.shahroodut.ac.ir/article_482_3406cd1fa845d38b77f2556344be6005.pdf ER -