3 citations · 4 across the 4 of their papers we have counts for
5 papers
A Double Categorical View on Representations of Etendues
Darien DeWolf, Dorette Pronk
In this paper we introduce a description of ordered groupoids as a particular type of double categories. This enables us to turn Lawson's correspondence between ordered groupoids a…
Commutation Semigroups of Finite Metacyclic Groups with Trivial Centre
Darien DeWolf, Charles C. Edmunds
We study the right and left commutation semigroups of finite metacyclic groups with trivial centre. These are presented \[G(m,n,k) = \left\langle {a,b;{a^m} = 1,{b^n} = 1,{a^b} = {…
The Ehresmann-Schein-Nambooripad Theorem for Inverse Categories
Darien DeWolf, Dorette Pronk
The Ehresmann-Schein-Nambooripad (ESN) Theorem asserts an equivalence between the category of inverse semigroups and the category of inductive groupoids. In this paper, we consider…
On Double Inverse Semigroups
Darien DeWolf, Dorette Pronk
We show that the two binary operations in double inverse semigroups, as considered by Kock [2007], necessarily coincide.
On Commutation Semigroups of Dihedral Groups
Darien DeWolf, Charles Edmunds, Christopher Levy
For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings…