activity
20072017
most citedLax orthogonal factorisation systems

11 citations · 21 across the 6 of their papers we have counts for

collaborators

7 papers

math.CT2017★ 3 cited

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…

math.CT2017

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…

math.CT2017★ 3 cited

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…

math.CT2015★ 11 cited

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…

math.CT2012

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…

math.QA2008

Monoidal categories of comodules for coquasi Hopf algebras and Radford's formula

Walter Ferrer Santos, Ignacio Lopez Franco

We study the basic monoidal properties of the category of Hopf modules for a coquasi Hopf algebra. In particular we discuss the so called fundamental theorem that establishes a mon…