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

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We give conditions on an inclusion $${\mathbb {C}}\hookrightarrow {\mathbb {D}}$$C↪D where $${\mathbb {C}}$$C is a Mal’tsev (resp. protomodular) subcategory in order to produce on $${\mathbb {D}}$$D a partial $$\Sigma $$Σ-Mal’tsev… Click to show full abstract

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

Keywords: sigma protomodular; mal tsev; sigma mal; tsev; protomodular subcategory

Journal Title: Applied Categorical Structures
Year Published: 2019

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