Koatomik modüller üzerine

This thesis attempts to observe whether some of the facts known for coatomic modules are still valid for a generalization of coatomic modules. A module M is finitely coatomic if every finitely generated proper submodule of M is contained in a maximal submodule of M. It is proved that several classes of modules are contained in the class of finitely coatomic modules. Namely, it is proved that if M is finitely supplemented with small radical then M is finitely coatomic. Similarly, f-semiperfect modules with small radical are also finitely coatomic. We call a module M finitely semisimple if every finitely generated submodule of M is a direct summand of M. It is proved that finitely semisimple modules are finitely coatomic. Also, two cases in which factor modules of a finitely coatomic module are again finitely coatomic are provided.