TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 16
IS - 1
PY - 2021
Y1 - 2021/4/01
TI - Tame Loci of Generalized Local Cohomology Modules
TT -
N2 - Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local cohomology modules $H^{i}_{R_{+}}(M,N)$. Finally, the tame loci $T^{i}(M,N)$ of $(M,N)$ will be considered and some sufficient conditions are proposed for the openness of these sets in the Zariski topology.
SP - 169
EP - 180
AU - Dehghani Zadeh, F.
AU - Jahangiri, M.
AD - Kharazmi university
KW - Graded modules
KW - Generalized local cohomology modules
KW - Associated prime ideals
KW - Tame loci.
UR - http://ijmsi.ir/article-1-1079-en.html
ER -