Central Submonads and Notions of Computation

@article{Carette2022CentralSA,
  title={Central Submonads and Notions of Computation},
  author={Titouan Carette and Louis Lemonnier and Vladimir Zamdzhiev},
  journal={ArXiv},
  year={2022},
  volume={abs/2207.09190}
}
The notion of "centre" has been introduced for many algebraic structures in mathematics. A notable example is the centre of a monoid which always determines a commutative submonoid. Monads in category theory are important algebraic structures that may be used to model computational effects in programming languages and in this paper we show how the notion of centre may be extended to strong monads acting on symmetric monoidal categories. We show that the centre of a strong monad T , if it exists… 

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