فهرست نشریات علمی دسترسی آزاد ایران

Cofiniteness of the generalized local cohomology modules $H^{i}_{\mathfrak{a}}(M,N)$ of two $R$-modules $M$ and $N$ withrespect to an ideal $\mathfrak{a}$ is studied for some $i^{,}s$ witha specified property. Furthermore, Artinianness of$H^{j}_{\mathfrak{b}_{0}}(H_{\mathfrak{a}}^{i}(M,N))$ isinvestigated by using the above result, in certain graded situations, where $\mathfrak{b}_{0}$ is an ideal of $R_{0}$ and$\mathfrak{a}=\mathfrak{a}_{0}+R_{+}$ such that$\mathfrak{b}_{0}+\mathfrak{a}_{0}$ is an  $\mathfrak{m}_{0}$-primary ideal.