Relative Mal'tsev categories

Tomas Everaert, Julia Goedecke, Tamar Janelidze-Gray and Tim Van der Linden

We define relative regular Mal'tsev categories and give an overview of conditions which are equivalent to the relative Mal'tsev axiom. These include conditions on relations as well as conditions on simplicial objects. We also give various examples and counterexamples.

Keywords: higher extension; simplicial resolution; Mal'tsev condition; relative homological algebra; arithmetical category

2010 MSC: 18A20, 18E10, 18G25, 18G30, 20J

Theory and Applications of Categories, Vol. 28, 2013, No. 29, pp 1002-1021.

Published 2013-10-14.

TAC Home