Now showing items 1-5 of 5

    • Almost-Perfect Modules 

      Aydogdu, Pınar; Özcan, A. Ciğdem (Cambridge Univ Press, 2010)
      We call a module M almost perfect if every M-generated flat module is M-projective. Any perfect module is almost perfect. We characterize almost-perfect modules and investigate some of their properties. It is proved that ...
    • Duo Modules 

      Özcan, A. C.; Harmancı, A.; Smith, P. F. (Cambridge Univ Press, 2006)
      Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodule of M is fully invariant. It is proved that if R is a commutative domain with field of fractions K then a torsion-free ...
    • On Dual Baer Modules 

      Tutuncu, Derya Keskin; Tribak, Rachid (Cambridge Univ Press, 2010)
      In this paper we introduce T-non-cosingular modules, dual Baer modules and K-modules. We prove that a module M is lifting and T-non-cosingular if and only if it is a dual Baer and K-module. Rings for which all modules are ...
    • On T-Noncosingular Modules 

      Tutuncu, Derya Keskin; Tribak, Rachid (Cambridge Univ Press, 2009)
      In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show ...
    • Rings Whose Cyclic Modules Are Direct Sums Of Extending Modules 

      Aydogdu, Pınar; Er, Noyan; Ertas, Nil Orhan (Cambridge Univ Press, 2012)
      Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Every cyclic right module is a direct sum of uniform modules. We first prove the following improvement of the well-known ...