ON KERNEL FUNCTORS

In this short note the relation between kernel functor and idemptent filters are studied. Also , the notionof dimension is redefined in terms of kernel functors and their derived functors. We shall obtain a resultconcerning the vanishing of right derived functors of kernel functors with this kind of relative dimension.Theresearch may be viewed as a more general version of general local cohomology presented in the litrature so far.