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Congruences and Hoehnke radicals on graphs
Author(s) -
Izak Broere,
Johannes Heidema,
Stefan Veldsman
Publication year - 2018
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.2166
Subject(s) - mathematics , congruence relation , combinatorics , radical , discrete mathematics , chemistry , organic chemistry
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).

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