On Goldie* -T- lifting Modules

الملخص

In this paper , we introduce    relation on the Lattic of submodules of a module  M. We say that submodule X ,Y of  M are equivalent , X  Y, if   £   and   £  ,for some H≪TM .We show that  relation is an equivalence relation and has good  behavior  with respect to addition of  submodules  and  homomorphisms. This relation is used to define and study the class of Goldie*-T-lifting modules.

DOI = 10.24897/acn.64.68.32