ON functors D_d (-) and D_d (M,-)
Journal Title: Scientific Journal of Pure and Applied Sciences - Year 2014, Vol 3, Issue 7
Abstract
Let be a Noetherian ring and be a non-negative integer. Let be an -module. We define the - transform functors and on the category of -modules. We show that, if is an injective - module, then is injective - module. Also, a criterion under which the isomorphism holds will be investigated. Finally, we investigate , where and are -modules.
Authors and Affiliations
N. Zamani| Faculaty of Mathematical Science, University of Mohaghegh Ardabili, Ardabil, IR of IRAN., M . S . Sayedsadeghi*| Department of Mathematics Faculty of Science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN., M. H. Bijan-Zadeh| Professor, Department of Mathematics Faculty of Science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN., Kh. Ahmadi-Amoli| Assistant Professor, Department of mathematics faculty of science , Payamenoor University, pobox 19395 -3697Theran, IR of IRAN.
Keywords
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- EP ID EP387
- DOI 10.14196/sjpas.v3i7.1590
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ON functors D_d (-) and D_d (M,-)
Let be a Noetherian ring and be a non-negative integer. Let be an -module. We define the - transform functors and on the category of -modules. We show that, if is an injective - module, then is injectiv...