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 finite products commute with coequalisers. The main results of this paper show that much of the behaviour of central morphisms for unital categories is retained in our setting, including categories which are (weakly) unital, but also categories outside of the unital setting.

Keywords: centrality, commutativity, finite products, coequalisers, unital category

2020 MSC: 18E13, 18A30, 08B10, 18E05, 08B25

Theory and Applications of Categories, Vol. 39, 2023, No. 13, pp 423-443.

Published 2023-03-24.


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