Author/Authors :
Zamani، N. نويسنده Faculty of Mathematical sciences, Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran , , Sayedsadeghi، M.S. نويسنده Department of Mathematics Faculty of Science, Payamenoor University, pobox 19395 -3697Theran, IR of IRAN. , , Bijan-Zadeh، M.H. نويسنده Professor, Department of Mathematics Faculty of Science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN. , , Ahmadi-Amoli، Kh. نويسنده Assistant Professor, Department of mathematics faculty of science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN. ,
Abstract :
Let R be a Noetherian ring and d be a non-negative integer. Let M be an R-module. We define the d- transform functors D_d (-) and D_d (M,-) on the category of R-modules. We show that, if M is an injective R- module, then L_d (M) is injective R- module. Also, a criterion under which the isomorphism M ? D_d (M) holds will be investigated. Finally, we investigate D_d (M,N), where M and N are R-modules.
