11 citations · 21 across the 6 of their papers we have counts for
6 papers · 1 filter
Measuring Comodules and Enrichment
Martin Hyland, Ignacio Lopez Franco, Christina Vasilakopoulou
This paper extends the theory of universal measuring comonoids to modules and comodules in braided monoidal categories. We generalise the universal measuring comodule Q(M,N), origi…
Lax orthogonal factorisations in ordered structures
Maria Manuel Clementino, Ignacio Lopez Franco
We give an account of lax orthogonal factorisation systems on order-enriched categories. Among them, we define and characterise the KZ-reflective ones, in a way that mirrors the ch…
Lax orthogonal factorisations in monad-quantale-enriched categories
Maria Manuel Clementino, Ignacio Lopez Franco
We show that, for a quantale and a -monad laxly extended to -, the presheaf monad on the category of -categories is…
Lax orthogonal factorisation systems
Maria Manuel Clementino, Ignacio Lopez Franco
This paper introduces lax orthogonal algebraic weak factorisation systems on 2-categories and describes a method of constructing them. This method rests in the notion of simple 2-m…
Tensor products of finitely cocomplete and abelian categories
Ignacio Lopez Franco
The purpose of this article is to study the existence of Deligne's tensor product of abelian categories by comparing it with the well-known ten- sor product of finitely cocomplete…
Hopf modules for autonomous pseudomonoids and the monoidal centre
Ignacio L. Lopez Franco
In this work we develop some aspects of the theory of Hopf algebras to the context of autonomous map pseudomonoids. We concentrate in the Hopf modules and the Centre or Drinfel'd d…