Abstract:
Let $(R,\mathfrak{m})$ be a local commutative Noetherian ring and $I$ an ideal of $R$ with $\dim R/I\le 2$ In the case where $N$ is a finitely generated $R$-module, it is shown that $H^t_I(M,N)$ is $I$-cominimax if and only if the Bass numbers of $H^{t}_I(M,N))$ are finite. Some conditions for the $R$-module $H^{p+d-1}_I(M,N)$ to be $I$-cominimax are also provided.
Keywords:Bass numbers, cominimax, generalized local cohomology, weakly Laskerian.