Author/Authors :
Aghapournahr، M. نويسنده Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8- 8349, Iran. , , Ahmadi-Amoli، Kh. نويسنده Assistant Professor, Department of mathematics faculty of science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN. , , Sadeghi، M. Y نويسنده Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran. ,
Abstract :
A generalization of the notion of depth of an ideal on a
module is introduced by applying the concept of local cohomology
modules with respect to a pair of ideals . The concept of (I; J)-
Cohen{Macaulay modules is also introduced as a generalization of
the concept of Cohen{Macaulay modules . This kind of modules
is di erent from the Cohen{Macaulay modules, as shown in an
example. Also an Artinian result is given for such modules.
