Research ArticleOpen accessPhrase in the titleThe 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 keywordsOn the Derived Subgroups of Some Finite GroupsS. Rashid, N. H. Sarmin, A. Erfanian, N. M. Mohd AliProblem statement: In this study we focus on the derived subgroup of nonabelian 3-generator groups of order p3q, where p and q are distinct primes and p < q. Our main objective is to compute the derived subgroup for these groups up to isomorphism. Approach: In a group G, the derived subgroup G' = [G, G] is generated by the … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 7,514 accessesView PDFCite
Research ArticleOpen accessIn the keywordsModules in σ[M] with Chain Conditions on δM-small SubmodulesAli O. AlattassProblem statement: Let M be a right module over a ring R. In this article modules in σ[M] with chain conditions on δM- small submodules are studied. Approach: With the help of known results about M- singular, Artinian and Noetherian modules the techniques of the proofs of our main results use the properties of δM- small, δM- supplement and δM- … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,478 accessesView PDFCite