11 citations · 42 across the 23 of their papers we have counts for
28 papers
How protomodular is your favourite category?
Maria Manuel Clementino, Diana Rodelo
In this work we investigate a relative notion of protomodularity. We say that a finitely complete category satisfies the \defn{-version of protomodularity…
Algebraic exponentiation and action representability for V-groups
Maria Manuel Clementino, Andrea Montoli
We show that the category of V-groups, where V is a cartesian quantale, so in particular the category of preordered groups, is locally algebraically cartesian closed with respect t…
Topological lax comma categories
Maria Manuel Clementino, Dirk Hofmann, Rui Prezado
This paper investigates the interplay between properties of a topological space , in particular of its natural order, and properties of the lax comma category $\mathsf{Top} \Dow…
Effective descent morphisms of ordered families
Maria Manuel Clementino, Rui Prezado
We present a characterization of effective descent morphisms in the lax comma category when is a locally complete ordered set, as well as in the antisymmetric…
Right-preordered groups from a categorical perspective
Maria Manuel Clementino, Andrea Montoli
We study the categorical properties of right-preordered groups, giving an explicit description of limits and colimits in this category, and studying some exactness properties. We s…
Lax comma categories: cartesian closedness, extensivity, topologicity, and descent
Maria Manuel Clementino, Fernando Lucatelli Nunes, Rui Prezado
We investigate the properties of lax comma categories over a base category , focusing on topologicity, extensivity, cartesian closedness, and descent. We establish that the forg…