Minimaxness and finiteness properties of formal local cohomology modules

Abstract

Let $\mathfrak{a}$ be an ideal of local ring ( R, $\mathfrak{m}$) and M a finitely generated R-module and n an integer. We prove some results concerning minimaxness and finiteness of formal local cohomology modules. We discuss the maximum and minimum integers such that $\mathfrak{F}_\mathfrak{a}^i$( M) is minimax and also we obtain the maximum and minimum integers such that $\mathfrak{F}_\mathfrak{a}^i$( M) is finitely gnerated.