nLab mixed complex


A mixed complex is both a chain complex and a cochain complex in a compatible way. Equivalently, it is a dg-module over the dg-algebra k[B]/(B 2)k[B]/(B^2), where kk is the base ring, BB is of degree 1-1, and dB=0dB = 0. Mixed complexes were introduced in the study of cyclic homology.


  • Christian Kassel, Cyclic homology, comodules and mixed complexes, J. Alg. 107 (1987), 195–216.

Created on July 8, 2014 at 04:27:36. See the history of this page for a list of all contributions to it.