5 citations · 5 across the 2 of their papers we have counts for
6 papers · 1 filter
On extensivity of morphisms
Michael Hoefnagel, Emma Theart
Extensivity of a category may be described as a property of coproducts in the category, namely, that they are disjoint and universal. An alternative viewpoint is that it is a prope…
Anticommutativity and the triangular lemma
Michael Hoefnagel
For a variety , it has been recently shown that binary products commute with arbitrary coequalizers locally, i.e., in every fibre of the fibration of points $π: \mathr…
Products and coequalizers in pointed categories
Michael Hoefnagel
In this paper, we investigate the property (P) that finite products commute with arbitrary coequalizers in pointed categories. Examples of such categories include any regular unita…
-coextensivity and the strict refinement property
Michael Hoefnagel
The notion of an -coextensive object is introduced in an arbitrary category , where is a distinguished class of morphisms from .…
Characterizations of majority categories
Michael Hoefnagel
In universal algebra, it is well known that varieties admitting a majority term admit several Mal'tsev-type characterizations. The main aim of this paper is to establish categorica…
Majority categories
Michael Anton Hoefnagel
We introduce the notion of a majority category --- the categorical counterpart of varieties of universal algebras admitting a majority term. This notion can be thought to capture p…