English

Centrality and the commutativity of finite products with coequalisers

Category Theory 2023-03-22 v3 Rings and Algebras

Abstract

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 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.

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Cite

@article{arxiv.2210.02146,
  title  = {Centrality and the commutativity of finite products with coequalisers},
  author = {Michael Hoefnagel},
  journal= {arXiv preprint arXiv:2210.02146},
  year   = {2023}
}

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21 pages