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 -