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.
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Firas Sh. Fandi Firas Sh. Fandi (2024) studied this question.
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