English

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

Category Theory 2018-01-24 v2

Abstract

In this article Hopf parametric adjunctions are defined and analysed within the context of the 2-adjunction of the type Adj\mathbf{Adj}-Mnd\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 CatCat are revised and characterized. This article finalises with the application of the obtained results on current categorical characterization of Hopf Monads.

Keywords

Cite

@article{arxiv.1703.05854,
  title  = {Hopf Parametric Adjoint Objects through a 2-adjunction of the type Adj-Mnd},
  author = {Adrian Vazquez-Marquez},
  journal= {arXiv preprint arXiv:1703.05854},
  year   = {2018}
}
R2 v1 2026-06-22T18:48:22.047Z