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Condition for an \(n\)-permutable category to be Maltsev. (English. French summary) Zbl 1386.18003

Summary: We give a strengthening of the description of an \(n\)-permutable category due to A. Carboni et al. [Appl. Categ. Struct. 1, No. 4, 385–421 (1993; Zbl 0799.18002)]. This provides a new characterization of the regular Mal’tsev categories from among those which are Goursat categories, or more generally \(n\)-permutable.

MSC:

18B10 Categories of spans/cospans, relations, or partial maps
08B05 Equational logic, Mal’tsev conditions

Citations:

Zbl 0799.18002
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