Artinianess of Graded Generalized Local Cohomology Modules
عنوان مقاله: Artinianess of Graded Generalized Local Cohomology Modules
شناسه ملی مقاله: JR_MSJI-7-1_009
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_MSJI-7-1_009
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Sh. Tahamtan - Department of Mathematics, Islamic Azad University, Borujerd-Branch, Borujerd, iran.
خلاصه مقاله:
Sh. Tahamtan - Department of Mathematics, Islamic Azad University, Borujerd-Branch, Borujerd, iran.
Let R = L n۲N۰Rn be a Noetherian homogeneous graded ring with local basering (R۰;m۰) of dimension d . Let R+ = Ln۲NRn denote the irrelevant idealof R and let M and N be two nitely generated graded R-modules. Lett = tR+(M;N) be the rst integer i such that HiR+(M;N) is not minimax.We prove that if i t, then the set AssR۰ (HiR+(M;N)n) is asymptoticallystable for n ! ۱ and Hjm۰ (HiR+(M;N)) is Artinian for ۰ j ۱. More-over, let s = sR+(M;N) be the largest integer i such that HiR+(M;N) is notminimax. For each i s, we prove that R۰m۰R۰HiR+(M;N) is Artinian andthat Hjm۰ (HiR+(M;N)) is Artinian for d ۱ j d. Finally we show thatHd۲m۰ (HsR+(M;N)) is Artinian if and only if Hdm۰ (Hs۱R+(M;N)) is Artinian.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1726786/