caa a22 4500 445378743 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10485-009-9193-4 doi (NATIONALLICENCE)springer-10.1007/s10485-009-9193-4 Janelidze Tamar Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut Incomplete Relative Semi-Abelian Categories [Elektronische Daten] [Tamar Janelidze] 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. Springer Science+Business Media B.V., 2009 Incomplete relative semi-abelian category nationallicence Relative semi-abelian category nationallicence Semi-abelian category nationallicence Relative homological category nationallicence Regular epimorphism nationallicence Normal epimorphism nationallicence Applied Categorical Structures Springer Netherlands 19/1(2011-02-01), 257-270 0927-2852 19:1<257 2011 19 10485 https://doi.org/10.1007/s10485-009-9193-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9193-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Janelidze Tamar Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/1(2011-02-01), 257-270 0927-2852 19:1<257 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer