TY - JOUR
T1 - Congruences and hoehnke radicals on graphs
AU - Broere, Izak
AU - Heidema, Johannes
AU - Veldsman, Stefan
N1 - Publisher Copyright:
© 2020 Sciendo. All rights reserved.
PY - 2020/11/1
Y1 - 2020/11/1
N2 - 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).
AB - 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).
KW - Congruences and quotients of graphs
KW - Connectednesses and disconnectednesses of graphs
KW - Hoehnke radicals of graphs
KW - Kurosh-Amitsur radicals of graphs
KW - Subdirect representations of graphs
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U2 - 10.7151/dmgt.2166
DO - 10.7151/dmgt.2166
M3 - Article
AN - SCOPUS:85091454188
SN - 1234-3099
VL - 40
SP - 1067
EP - 1084
JO - Discussiones Mathematicae - Graph Theory
JF - Discussiones Mathematicae - Graph Theory
IS - 4
ER -