A classification of nullity classes in the derived category of a ring

For a commutative Noetherian ring $R$ with finite Krull dimension, we study the nullity classes in $D_{fg}^c(R)$, the full triangulated subcategory $D_{fg}^c(R)$ of the derived category $D(R)$ consisting of objects which can be represented by cofibrant objects with each degree finitely generated. In the light of perversity functions over the prime spectrum $\mathrm{S}\mathrm{p}\mathrm{e}\mathrm{c}R$, we prove that there is a complete invariant of nullity classes thus that of aisles (or equivalently, $t$-structures) in $D_{fg}^c(R)$.