Vanishing of Ext-Functors and Faltings’ Annihilator Theorem for relative Cohen-Macaulay modules

Subject Areas : Statistics

M.  Mast Zohouri ¹ (PhD student, Payame Noor University, Tehran, Iran)
Kh.  Ahmadi Amoli ² (PhD student, Payame Noor University, Tehran, Iran)
S.  Faramarzi ³ (Assistant Professor, Payame Noor University, Tehran, Iran)

Received: 2018-11-24 Accepted : 2018-04-18 Published : 2019-04-01

Keywords: تابعگون Ext, مدول‌های کوهمولوژی موضعی, مدول‌های کوهن-مکالی نسبی صافی , قضیه پوچ‌ساز فالتینگز,

Abstract :

et be a commutative Noetherian ring, and two ideals of and a finite -module. In this paper, we have studied the vanishing and relative Cohen-Macaulyness of the functor for relative Cohen-Macauly filtered modules with respect to the ideal (RCMF). We have shown that the for relative Cohen-Macaulay modules holds for any relative Cohen-Macauly module with respect to with ........

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