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A Note on the Five Lemma

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland, 7602, South Africa

    Friday Ifeanyi Michael

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  1. Friday Ifeanyi Michael
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Correspondence to Friday Ifeanyi Michael.

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Michael, F.I. A Note on the Five Lemma. Appl Categor Struct 21, 441–448 (2013). https://doi.org/10.1007/s10485-011-9273-0

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  • DOI: https://doi.org/10.1007/s10485-011-9273-0

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