Universal central extensions in semi-abelian categories
classification
🧮 math.CT
keywords
centralcategoriesextensionsconditionsemi-abelianuniversalbasingcomposition
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Basing ourselves on Janelidze and Kelly's general notion of central extension, we study universal central extensions in the context of semi-abelian categories. We consider a new fundamental condition on composition of central extensions and give examples of categories which do, or do not, satisfy this condition.
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