# Cotorsion pairs in Hopfological algebra

@article{Ohara2020CotorsionPI, title={Cotorsion pairs in Hopfological algebra}, author={Mariko Ohara and Dai Tamaki}, journal={arXiv: K-Theory and Homology}, year={2020} }

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…

## One Citation

### A Rickard equivalence for hopfological homotopy categories

- MathematicsJournal of Pure and Applied Algebra
- 2022

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