صفر شدن تابعگون Ext و قضیه پوچ‌ساز فالتینگز برای مدول‌های کوهن-مکالی نسبی
محورهای موضوعی : آمارمریم مست ظهوری 1 , خدیجه احمدی آملی 2 , سعادت‌اله فرامرزی 3
1 - دانشجوی دکتری گروه ریاضی، دانشگاه پیام نور، تهران، ایران
2 - استادیار، گروه ریاضی، دانشگاه پیام نور، تهران، ایران
3 - استادیار، گروه ریاضی، دانشگاه پیام نور، تهران، ایران
کلید واژه: functors, Local cohomology modules, relative Cohen-Macauly filtere, Faltings’ Annihilator Theorem,
چکیده مقاله :
فرض کنیم یک حلقه جابجایی و نوتری، a و b ایده‌آل‌هایی از R و M یک R-مدول متناهی باشد. صفر شدن و کوهن-مکالی نسبی بودن تابعگون Ext را روی مدول‌های کوهن-مکالی نسبی صافی شده نسبت به ایده‌آل a (به اختصار RCMF) مطالعه کرده‌ایم. نشان داده‌ایم .....
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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