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arXiv · 1703.05854

Hopf Parametric Adjoint Objects through a 2-adjunction of the type Adj-Mnd

Adrian Vazquez-Marquez
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Abstract

In this article Hopf parametric adjunctions are defined and analysed within the context of the 2-adjunction of the type $\mathbf{Adj}$-$\mathbf{Mnd}$. In order to do so, the definition of adjoint objects in the 2-category of adjunctions and in the 2-category of monads for $Cat$ are revised and characterized. This article finalises with the application of the obtained results on current categorical characterization of Hopf Monads.

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Adrian Vazquez-Marquez. 2017-03-17. Hopf Parametric Adjoint Objects through a 2-adjunction of the type Adj-Mnd. https://arxiv.org/abs/1703.05854

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