en عمومى General پژوهشي Research paper <div style="text-align: justify;">Let n, d be non-negative integers. We introduce and study the notions of Gorenstein (n,d)-injective and Gorenstein (n,d)-flat modules by using the notion of special finitely presented, (n,d)-injective and (n,d)-flat modules for any n &ge; d+1. Then we investigate the properties of these modules in case that every special finitely presented module with finite projective dimension (resp. flat dimension) is 2-presented. Moreover, as applications over special coherent rings, we investigate the relationships between Gorenstein (n,d)-injective modules and Gorenstein (n,d)-flat modules, then we obtain that the classes GIⁿ_d (R) and GFⁿ_d (R^op) are covering and preenveloping, where GIⁿ_d (R) and GFⁿ_d(R^op) denote the subcategories of Gorenstein (n,d)-injective left R-module and Gorenstein (n,d)-flat right R-modules, respectively.</div> (n,d)-Flat module, (n,d)-Injective module, Gorenstein (n,d)-flat module, Gorenstein (n,d)-injective module, Special finitely presented module. 61 78 http://ijmsi.ir/browse.php?a_code=A-10-6984-1&slc_lang=en&sid=1 Mostafa Amini dr.Mostafa56@pnu.ac.ir 100319475328460012343 100319475328460012343 Yes Department of Mathematics, Payame Noor University, Tehran, Iran