Congruences and Hoehnke radicals on graphs

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dc.contributor.author Broere, Izak
dc.contributor.author Heidema, Johannes
dc.contributor.author Veldsman, Stefan
dc.date.accessioned 2020-10-29T10:08:15Z
dc.date.available 2020-10-29T10:08:15Z
dc.date.issued 2020
dc.description.abstract 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). en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.librarian pm2020 en_ZA
dc.description.sponsorship National Research Foundation of South Africa en_ZA
dc.description.uri https://content.sciendo.com/view/journals/dmgt/dmgt-overview.xml en_ZA
dc.identifier.citation Broere, I., Heidema, J. & Veldsman, S. 2020, 'Congruences and Hoehnke radicals on graphs', Discussiones Mathematicae Graph Theory, vol. 40, no. 4, pp. 1067-1084. en_ZA
dc.identifier.issn 1234-3099 (print)
dc.identifier.issn 2083-5892 (online)
dc.identifier.other 10.7151/dmgt.2166
dc.identifier.uri http://hdl.handle.net/2263/76662
dc.language.iso en en_ZA
dc.publisher Sciendo en_ZA
dc.rights © Authors. This article is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. en_ZA
dc.subject Kurosh-Amitsur radicals of graphs en_ZA
dc.subject Subdirect representations of graphs en_ZA
dc.subject Congruences of graphs en_ZA
dc.subject Quotients of graphs en_ZA
dc.subject Connectednesses of graphs en_ZA
dc.subject Disconnectednesses of graphs en_ZA
dc.title Congruences and Hoehnke radicals on graphs en_ZA
dc.type Article en_ZA


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