8 citations · 9 across the 4 of their papers we have counts for
4 papers
A note on split extension classifiers of perfect objects
James R. A. Gray
We show that for a pointed protomodular category satisfying a certain condition on those Huq commutators which exist, if is a perfect object in such t…
A note on the relationship between action accessible and weakly action representable categories
James Richard Andrew Gray
The main purpose of this paper is to show that the converse of the known implication weakly action representable implies action accessible is false. In particular we show that both…
A note on the Huq-commutativity of normal monomorphisms
James Richard Andrew Gray, Tamar Janelidze-Gray
We give an alternative criteria for when a pair of Bourn-normal monomorphisms Huq-commute in a unital category. We use this to prove that in a unital category, in which a morphism…
Peri-abelian categories and the universal central extension condition
James R. A. Gray, Tim Van der Linden
We study the relation between Bourn's notion of peri-abelian category and conditions involving the coincidence of the Smith, Huq and Higgins commutators. In particular we show that…