## Abstract

A quasi-pointed category in the sense of D. Bourn is a finitely complete category having an initial object such that the unique morphism from the initial object to the terminal object is a monomorphism. When instead this morphism is an isomorphism, we obtain a (finitely complete) pointed category, and as it is well known, the structure of zero morphisms in a pointed category determines an enrichment of the category in the category of pointed sets. In this note we examine quasi-pointed categories through the structure formed by the zero morphisms (i.e. the morphisms which factor through the initial object), with the aim to compare this structure with an enrichment in the category of pointed sets.

Original language | English |
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Pages (from-to) | 1037-1043 |

Number of pages | 7 |

Journal | Applied Categorical Structures |

Volume | 25 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1 Dec 2017 |

Externally published | Yes |

## Keywords

- Cokernel
- Ideal of morphisms
- Kernel
- Pointed category
- Quasi-pointed category
- Quasi-zero structure
- Zero structure

## ASJC Scopus subject areas

- Theoretical Computer Science
- Algebra and Number Theory
- General Computer Science