Approximate Hagemann-Mitschke co-operations
Category Theory
2015-02-19 v1
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.
Cite
@article{arxiv.1305.1115,
title = {Approximate Hagemann-Mitschke co-operations},
author = {Diana Rodelo and Tim Van der Linden},
journal= {arXiv preprint arXiv:1305.1115},
year = {2015}
}
Comments
11 pages. Dedicated to George Janelidze on the occasion of his sixtieth birthday