Essential T-Goldie-Supplemented Modules

Abstract

In our work, we defined Essential T--equivalent is relation between two submodules of a module N. A submodules K and H of a modules N are Essential- T- equivalent (K H), if     and    , for some . We give many characterizations of the relation  equivalent. So, we defined the Essential T- Goldie* lifting Modules and we give many properties related with this type. Keyword: ET-small submodule, Essential T-lifting module, Essential T-Goldie*lifting modules