• Corpus ID: 229153022

Cotorsion pairs in Hopfological algebra

  title={Cotorsion pairs in Hopfological algebra},
  author={Mariko Ohara and Dai Tamaki},
  journal={arXiv: K-Theory and Homology},
In an intriguing paper arXiv:math/0509083 Khovanov proposed a generalization of homological algebra, called Hopfological algebra. Since then, several attempts have been made to import tools and techiniques from homological algebra to Hopfological algebra. For example, Qi arXiv:1205.1814 introduced the notion of cofibrant objects in the category $\mathbf{C}_{A,H}^{H}$ of $H$-equivariant modules over an $H$-module algebra $A$, which is a counterpart to the category of modules over a dg algebra… 
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