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A while ago I worked on the question of what we can say if d^n=0, $d^n=0$, but I got distracted by more concrete problems. A few people have certainly thought about this question. One place to start looking is "$d\sp N=0$: $d^N=0$: generalized homology" or "Generalized homologies for $d\sp N=0$ d^N=0$and graded$q\$-differential algebras" both by Michel Dubois-Violette.

(Sorry for the lack of links; I'm off-campus so I can't actually get to the MathSciNet entries right now.)

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A while ago I worked on the question of what we can say if d^n=0, but I got distracted by more concrete problems. A few people have certainly thought about this question. One place to start looking is "$d\sp N=0$: generalized homology" or "Generalized homologies for $d\sp N=0$ and graded $q$-differential algebras" both by Michel Dubois-Violette.

(Sorry for the lack of links; I'm off-campus so I can't actually get to the MathSciNet entries right now.)
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