Incomplete Relative Semi-Abelian Categories.
- Resource Type
- Article
- Authors
- Janelidze, Tamar
- Source
- Applied Categorical Structures. Feb2011, Vol. 19 Issue 1, p257-270. 14p.
- Subject
- *ABELIAN categories
*CATEGORIES (Mathematics)
*MORPHISMS (Mathematics)
*ISOMORPHISM (Mathematics)
*GROUP theory
- Language
- ISSN
- 0927-2852
We propose relative (to a distinguished class E of epimorphisms) versions of the so-called old and new style axioms for semi-abelian categories, and prove the equivalence of these two sets of axioms. The same results were obtained before under much stronger completeness/cocompleteness assumptions. One of obvious purposes of such a generalization is to include the trivial case of E being the class of all isomorphisms when the ground category is an arbitrary pointed category. [ABSTRACT FROM AUTHOR]