9 citations · 18 across the 12 of their papers we have counts for
5 papers · 1 filter
Artin glueings of toposes as adjoint split extensions
Peter F. Faul, Graham Manuell, José Siqueira
Artin glueings of frames correspond to adjoint split extensions in the category of frames and finite-meet-preserving maps. We extend these ideas to the setting of toposes and show…
2-dimensional bifunctor theorems and distributive laws
Peter F. Faul, Graham Manuell, Jose Siqueira
In this paper we consider the conditions that need to be satisfied by two families of pseudofunctors with a common codomain for them to be collated into a bifunctor. We observe sim…
Quotients of monoid extensions and their interplay with Baer sums
Peter Faul, Graham Manuell
Cosetal extensions of monoids generalise extensions of groups, special Schreier extensions of monoids and Leech's normal extensions of groups by monoids. They share a number of pro…
Baer sums for a natural class of monoid extensions
Peter Faul
It is well known that the set of isomorphism classes of extensions of groups with abelian kernel is characterized by the second cohomology group. In this paper we generalise this c…
-Semidirect Products of Inverse Monoids are Weakly Schreier Extensions
Peter Faul
A split extension of monoids with kernel k: N -> G, cokernel e: G -> H and splitting s: H -> G is weakly Schreier if each element g in G can be written g = k(n)se(g) for some n in…