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Relative homological categories

Tamar Janelidze
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Abstract

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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Tamar Janelidze. 2006-08-31. Relative homological categories. https://arxiv.org/abs/math/0608774

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