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Extracting a \(\Sigma \)-Mal’tsev (\(\Sigma \)-Protomodular) Structure from a Mal’tsev (Protomodular) Subcategory

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Abstract

We give conditions on an inclusion \({\mathbb {C}}\hookrightarrow {\mathbb {D}}\) where \({\mathbb {C}}\) is a Mal’tsev (resp. protomodular) subcategory in order to produce on \({\mathbb {D}}\) a partial \(\Sigma \)-Mal’tsev (resp. \(\Sigma \)-protomodular) structure.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, Bat. H. Poincaré, 50 Rue F. Buisson, BP 699, 62228, Calais, France

    Dominique Bourn

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  1. Dominique Bourn
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Correspondence to Dominique Bourn.

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Communicated by Zurab Janelidze.

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Bourn, D. Extracting a \(\Sigma \)-Mal’tsev (\(\Sigma \)-Protomodular) Structure from a Mal’tsev (Protomodular) Subcategory. Appl Categor Struct 27, 619–640 (2019). https://doi.org/10.1007/s10485-019-09568-8

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  • DOI: https://doi.org/10.1007/s10485-019-09568-8

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