Centrality and normality in protomodular categories (Q2762222)
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scientific article; zbMATH DE number 1687312
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Centrality and normality in protomodular categories |
scientific article; zbMATH DE number 1687312 |
Statements
8 January 2002
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Maltsev categories
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abstract normal subobject
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centrality of equivalence relations
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connector
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pregroupoid
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protomodular categories
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0.87320113
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0.8723142
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0.8613639
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Centrality and normality in protomodular categories (English)
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In this paper the authors study the relationship between the notion of centrality for congruences in a Mal'cev variety, introduced by \textit{J. D. H. Smith}, and the notion of normal monomorphism in a protomodular category, introduced by the first author. The key ingredient in establishing the link is a notion of `connector' between two equivalence relations on the same object, which is closely related to the notion of pregroupoid introduced by \textit{A.~Kock}.
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