Now showing items 1-5 of 5

    • Confinitely amply weakly supplemented modules 

      Menemen, Filiz (Izmir Institute of Technology, 2005)
      We study amply weak supplemented modules and co¯nitely amply weakly supple-mented modules in this thesis. We prove that every factor module, homomorphic image, supplemented submodule of an amply (co¯nitely) weak supplemented ...
    • Generalization of cofinitely supplemented modules to lattices 

      Çetindil, Yasin (Izmir Institute of Technology, 2005)
      In this thesis we study how to extend the notion of co¯nitely supplemented module to lattice theory. A submodule N of a module M is called co¯nite if the factor module M/N is ¯nitely generated and we say that M is a co¯nitely ...
    • The least proper class containing weak supplement 

      Durğun, Yılmaz (Izmir Institute of Technology, 2009)
      The main purpose of this thesis is to investigate the least proper class containing the classWS of R-modules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a ...
    • Proper class generated by submodules that have supplements 

      Demirci, Yılmaz Mehmet (Izmir Institute of Technology, 2008)
      In this thesis, we study the class S of all short exact sequences 0 A B C 0 where Im& has a supplement in B, i.e. a minimal elemenr in the set {V B V + Im& . B}.The corresponding elements of ExtR(C;A) are called k-elements. ...
    • Submodules that have supplements 

      Çeliköz, Zafer (Izmir Institute of Technology, 2007)
      In this thesis we study theK -elements of extension modules where R is a principal ideal domain. In general K -elements need not form a submodule in an extension module but if C is divisible and almost all primary components ...