On fully bounded noetherian modules and their endomorphism rings
On fully bounded noetherian modules and their endomorphism rings
In this paper we introduce the notion of bounded modules and fully bounded modules. A right R-module M is called a bounded module if every essential submodule of M contains a fully invariant submodule of M which is essential in MR. A module M is called a fully bounded module if M/X is bounded for any prime submodule X of M.