homological category

A category $C$ is **homological** if it is pointed, regular and protomodular.

Many of the standard results of classical homological algebra in abelian categories extend to homological categories: the five lemma, the nine lemma, the snake lemma, long exact sequence in homology, the Noether isomorphism theorem. There is also a version of Jordan-Hoelder theorem.

- [[Dominique Bourn], Francis Borceux, Mal'cev, protomodular, homological and semi-abelian categories, Kluwer 2004.

Revised on May 23, 2011 17:22:31
by Zoran Škoda
(161.53.130.104)