Research ArticleOpen accessPhrase in the titleOn 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 abstractThe Algebraic K-Theory of Finitely Generated Projective Supermodules P(R) Over a Supercommutative Super-Ring RAmeer JaberProblem statement: Algebraic K-theory of projective modules over commutative rings were introduced by Bass and central simple superalgebras, supercommutative super-rings were introduced by many researchers such as Knus, Racine and Zelmanov. In this research, we classified the projective supermodules over (torsion free) supercommutative super-rings and through out this study we forced our selves to generalize the algebraic K-theory of projective … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,168 accessesView PDFCite
Research ArticleOpen accessIn the abstractAlmost Graded Prime IdealsAmeer Jaber, Malik Bataineh, Hani KhashanProblem Statement: Graded commutative ring with unity over an abelian group were introduced by many authors such as T. Y. Lam and C. T. C. Wall, and almost prime ideals over commutative rings with unity were introduced by S.M. Batwadeker and P.K. Sharma, and this forced us to try to extend the theory of almost and n-almost prime ideals to … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,030 accessesView PDFCite