Relative homological categories

Details Relative homological categories Relative homological categories

2006-08-31

arxiv.org/abs/math/0608774v1

Mathematics

Category Theory

to be published in "Journal of Homotopy and Related Structures"

Scientific paper

We introduce relative homological and weakly homological categories, where
``relative'' refers to a distinguished class of normal epimorphisms. It is a
generalization of homological categories, but also protomodular categories can
be regarded as examples. We indicate that the relative versions of various
homological lemmas can be proved in a relative homological category.

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