Research ArticleOpen accessIn the keywordsOn Containment and Radical Graphs of a Commutative RingSaba Al-KaseasbehIn this study, we consider various graphs with the vertices being sets of ideals of a commutative ring with identity, R. How we define the edge set will vary according to distinct ideal theoretic properties. We apply a graphical approach to the study of ideal relationships in commutative rings and from this we obtain some properties of their graphs. …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 29 Dec 2016 · 7,266 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Prime Radical of a HypergroupoidGürsel YeşilotIn this study, we give definitions of a prime ideal, a s-semiprime ideal and a w-semiprime ideal for a hypergroupoid K. For an ideal A of K we show that radical of A (R(A)) can be represented as the intersection of all prime ideals of K containing A and we define a strongly A-nilpotent element. For any ideal A of … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,505 accessesView PDFCite