Loop conditions for strongly connected digraphs

Miroslav Olšák
International Journal of Algebra and Computation pp. 1 – 33, 2019.

 pdf   doi:10.1142/S0218196720500083

Open Access (CC BY 4.0)

Abstract

We prove that every strongly connected (not necessarily finite) digraph of algebraic length 1, which is compatible with an operation t satisfying a non-trivial identity of the form t(...) = t(...), has a loop.

BibTex

@article{MO-IJAC19,
author = "Miroslav Olšák",
title = "Loop conditions for strongly connected digraphs",
journal = "International Journal of Algebra and Computation",
editor = "K. Kearnes",
pages = "1--33",
year = 2019,
doi = 10.1142/S0218196720500083,
}