• Corpus ID: 116902779

Morita theory in enriched context

@article{Ratkovic2012MoritaTI,
  title={Morita theory in enriched context},
  author={Kruna Ratkovic},
  journal={arXiv: Category Theory},
  year={2012}
}
  • Kruna Ratkovic
  • Published 12 February 2013
  • Mathematics
  • arXiv: Category Theory
Nous developpons une version homotopique de la theorie de Morita classique en utilisant la notion de monade forte. C’etait Anders Kock qui a montre qu’une monade T dans une categorie monoidale Σ est forte si et seulement si la monade T est enrichie. Nous montrons que cette correspondance entre force et enrichissement se traduit par un 2-isomorphisme de 2-categories. Sous certaines conditions sur la monade T, nous montrons que la categorie homotopique des T-algebres est equivalente au sens de… 
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Citation Type

Gabriel-Morita Theory for Excisive Model Categories
TLDR
A Gabriel-Morita theory for strong monads on pointed monoidal model categories is developed and Schwede’s theorem on connective stable homotopy over a pointed Lawvere theory as special case is recovered.
Notion of strong monad in computing
  • Kruna Ratkovic
  • Mathematics
    2018 23rd International Scientific-Professional Conference on Information Technology (IT)
  • 2018
TLDR
This survey gives a brief introduction of the notion of a strong monad in a categorical framework together with some illustrative examples in the theory of computation.
Generic Hoare Logic for Order-Enriched Effects with Exceptions
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This work introduces a monad-based metalanguage that extends Moggi’s computational metalanguage with native exceptions and iteration, interpreted over monads supporting a dcpo structure and presents a Hoare calculus with abnormal postconditions for this metalanguage.

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