79 citations · 180 across the 28 of their papers we have counts for
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Pre-rigid Monoidal Categories
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
Liftable pairs of adjoint functors between braided monoidal categories in the sense of \cite{GV-OnTheDuality} provide auto-adjunctions between the associated categories of bialgebr…
Monadic vs Adjoint Decomposition
Alessandro Ardizzoni, Claudia Menini
It is known that the so-called monadic decomposition, applied to the adjunction connecting the category of bialgebras to the category of vector spaces via the tensor and the primit…
Heavily Separable Functors
Alessandro Ardizzoni, Claudia Menini
Prompted by an example related to the tensor algebra, we introduce and investigate a stronger version of the notion of separable functor that we call heavily separable. We test thi…
Liftable pairs of functors and Initial objects
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
Let and be monoidal categories and let be a lax monoidal functor. If has a left adjoint , it is well-know…
Restricted Lie algebras via monadic decomposition
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
We give a description of the category of restricted Lie algebras over a field of prime characteristic by means of monadic decomposition of the functor that computes the $\…
Milnor-Moore Categories and Monadic Decomposition
Alessandro Ardizzoni, Claudia Menini
In this paper Hom-Lie algebras, Lie color algebras, Lie superalgebras and other type of generalized Lie algebras are recovered by means of an iterated construction, known as monadi…