Modules Whose Nonzero Endomorphisms Have E-small Kernels

Let Rbe a commutative ring and Man unital Rmodule. A submodule Lof Mis called essential submodule of M if L\cap K\neq\lbrace 0\rbracefor any nonzero submodule Kof M A submodule Nof Mis called e-small submodule of Mif, for any essential submodule Lof M N+L= Mimplies L=M An Rmodule Mis called e-small quasi-Dedekind module if, for each f\in End_{R}(M), f\neq 0implies Kerfis e-small in...