$d^N=0$ : Generalized homology
Dubois-Violette, Michel
HAL, hal-00013518 / Harvested from HAL
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.
Publié le : 1998-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
@article{hal-00013518,
     author = {Dubois-Violette, Michel},
     title = {$d^N=0$ : Generalized homology},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013518}
}
Dubois-Violette, Michel. $d^N=0$ : Generalized homology. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013518/