Journal of the
Korean Mathematical Society JKMS

Let $\frak a$ be an ideal of a commutative Noetherian ring $R$, $M$ a finitely generated $R$-module and $N$ a weakly Laskerian $R$-module. We show that if $N$ has finite dimension $d$, then ${\rm Ass}_R(H^d_{\frak a}(N))$ consists of finitely many maximal ideals of $R$. Also, we find the least integer $i$, such that $H^i_{\frak a}(M,N)$ is not consisting of finitely many maximal ideals of $R$.

Keywords: associated prime ideals, generalized local cohomology modules, weakly Artinian modules, weakly Laskerian modules

MSC numbers: 13D45, 13Exx