Approximate Hagemann-Mitschke co-operations

Rodelo, Diana;Van der Linden, Tim
(2014) Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science — Vol. 22, p. 1009-1020 (2014)

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Abstract
We show that varietal techniques based on the existence of operations of a certain arity can be extended to n-permutable categories with binary coproducts. This is achieved via what we call approximate Hagemann-Mitschke co-operations, a generalisation of the notion of approximate Mal'tsev co-operation. In particular, we extend characterisation theorems for n-permutable varieties due to J. Hagemann and A. Mitschke to regular categories with binary coproducts.
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Rodelo, D., & Van der Linden, T. (2014). Approximate Hagemann-Mitschke co-operations. Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, 22, 1009-1020. https://doi.org/10.1007/s10485-013-9359-y (Original work published 2014)