TY - JOUR T1 - Tame Loci of Generalized Local Cohomology Modules TT - JF - IJMSI JO - IJMSI VL - 16 IS - 1 UR - http://ijmsi.ir/article-1-1079-en.html Y1 - 2021 SP - 169 EP - 180 KW - Graded modules KW - Generalized local cohomology modules KW - Associated prime ideals KW - Tame loci. 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. M3 ER -