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math.CT2022
Centrality and the commutativity of finite products with coequalisers
Michael Hoefnagel
We study centrality of morphisms in a setting derived from that of a pointed category in which binary products commute with coequalisers. The main results of this paper show that m…
math.CT2022
When a matrix condition implies the Mal'tsev property
Michael Hoefnagel, Pierre-Alain Jacqmin
Matrix conditions extend linear Mal'tsev conditions from Universal Algebra to exactness properties in Category Theory. Some can be stated in the finitely complete context while, in…
math.CT2022
Matrix taxonomy and Bourn localization
Michael Hoefnagel, Pierre-Alain Jacqmin
In a recent paper, an algorithm has been presented for determining implications between a particular kind of category theoretic property represented by matrices -- the so called `m…