Congruences and Hoehnke radicals on graphs
Izak Broere, Johannes Heidema, Stefan Veldsman · Discussiones Mathematicae Graph Theory · 2018
We motivate, introduce, and study radicals on classes of graphs. This concept, and the theory which is developed, imitates the original notion of a Hoehnke radical in universal algebra using congruences. It is shown how this approach ties in with the existing theory of connectednesses and disconnectednesses (= Kurosh-Amitsur radical theory).