$d^N=0$
Abstract
Description
We study the generalized homology associated with a nilpotent endomorphism $d$ satisfying $d^N=0$. For simplicial modules we construct such nilpotent endomorphisms and we prove a general result relating the corresponding generalized homologies to the ordinary homology. We also discuss the generalization of the notion of graded differential algebra in this context.
54 pages, AMS-LaTeX using pb-diagram. Lemma 6 modified and index added in p.41 line 5
54 pages, AMS-LaTeX using pb-diagram. Lemma 6 modified and index added in p.41 line 5