%0 Journal Article
%A Dehghani Zadeh, F.
%A Jahangiri, M.
%T Tame Loci of Generalized Local Cohomology Modules
%J Iranian Journal of Mathematical Sciences and Informatics
%V 16
%N 1
%U http://ijmsi.ir/article-1-1079-en.html
%R
%D 2021
%K Graded modules, Generalized local cohomology modules, Associated prime ideals, Tame loci.,
%X 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.
%> http://ijmsi.ir/article-1-1079-en.pdf
%P 169-180
%& 169
%!
%9 Research paper
%L A-10-2679-1
%+ Kharazmi university
%G eng
%@ 1735-4463
%[ 2021