$d^N=0$

Details $d^N=0$ $d^N=0$

1997-10-17

arxiv.org/abs/q-alg/9710021v2

Mathematics

Quantum Algebra

54 pages, AMS-LaTeX using pb-diagram. Lemma 6 modified and index added in p.41 line 5

Scientific paper

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.

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