English

Loop conditions

Logic 2018-02-12 v2 Combinatorics

Abstract

We discuss such Maltsev conditions that consist of just one linear equation, we call them loop conditions. To every such condition can be assigned a graph. We provide a classification of conditions with undirected graphs. It follows that the Siggers term is the weakest non-trivial loop condition.

Cite

@article{arxiv.1701.00260,
  title  = {Loop conditions},
  author = {Miroslav Olšák},
  journal= {arXiv preprint arXiv:1701.00260},
  year   = {2018}
}