Tue, 2 Dec 2025, 1:25 pm MT
We will describe some categorical properties of preordered and right-preordered groups, giving an explicit description of limits and colimits in these categories, studying some exactness properties, and showing that both structures give rise to quasivarieties. We will show that, from an algebraic point of view, the categories of preordered groups and of right-preordered groups share several properties with the one of monoids. Joint work with Maria Manuel Clementino and Nelson Martins-Ferreira.