A Note on the Five Lemma

We formulate and prove a “five lemma”, which unifies two independent generalizations of the classical five lemma in an abelian category: the five lemma in a (modular) semi-exact category in the sense of M. Grandis, and the five lemma in a pointed regular protomodular category in the sense of D. Bour...

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Veröffentlicht in:	Applied categorical structures 2013-10, Vol.21 (5), p.441-448
1. Verfasser:	Michael, Friday Ifeanyi
Format:	Artikel
Sprache:	eng
Schlagworte:	Convex and Discrete Geometry Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Theory of Computation
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We formulate and prove a “five lemma”, which unifies two independent generalizations of the classical five lemma in an abelian category: the five lemma in a (modular) semi-exact category in the sense of M. Grandis, and the five lemma in a pointed regular protomodular category in the sense of D. Bourn.
ISSN:	0927-2852 1572-9095
DOI:	10.1007/s10485-011-9273-0