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Relative Semi-abelian Categories

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Abstract

We define a relative semi-abelian category as a pair (C,E), where C is a pointed category with finite limits, and E is a class of regular epimorphisms in C satisfying certain conditions, stronger than those defining a relative homological category. Some results on the equivalence of the so-called old-style and new-style axioms for the semi-abelian categories are extended to the relative case.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, Cape Town, 7701, South Africa

    Tamar Janelidze

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  1. Tamar Janelidze
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Correspondence to Tamar Janelidze.

Additional information

Partially supported by the University of Cape Town Research Associateship and Georgia National Science Foundation (GNSF/ST06/3-004).

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Janelidze, T. Relative Semi-abelian Categories. Appl Categor Struct 17, 373–386 (2009). https://doi.org/10.1007/s10485-008-9155-2

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  • DOI: https://doi.org/10.1007/s10485-008-9155-2

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