Filter regular sequences and generalized local cohomology modules

Ali Fathi, Abolfazl Tehranian, Hossein Zakeri

Let $\mathfrak{a}$, $\mathfrak{b}$ be ideals of a commutative Noetherian ring $R$ and let $M$, $N$ be finite $R$-modules. The concept of an $\mathfrak{a}$-filter grade of $\mathfrak{b}$ on $M$ is intr…