AU - Dehghani Zadeh, F.
AU - Jahangiri, M.
TI - Tame Loci of Generalized Local Cohomology Modules
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 16
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1079-en.html
4100 - http://ijmsi.ir/article-1-1079-en.pdf
SO - IJMSI 1
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 169
PT - Research paper
YR - 2021