Corpus ID: 119133571

Firm Frobenius monads and firm Frobenius algebras

@article{Bhm2013FirmFM,
  title={Firm Frobenius monads and firm Frobenius algebras},
  author={G. B{\`o}hm and J. G'omez-Torrecillas},
  journal={arXiv: Rings and Algebras},
  year={2013}
}
Firm Frobenius algebras are firm algebras and counital coalgebras such that the comultiplication is a bimodule map. They are investigated by categorical methods based on a study of adjunctions and lifted functors. Their categories of comodules and of firm modules are shown to be isomorphic if and only if a canonical comparison functor from the category of comodules to the category of non-unital modules factorizes through the category of firm modules. This happens for example if the underlying… Expand
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