Resumen de A Module whose prime Spectrum has the Surjective Natural Map

Chin-Pi Lu

• Let R be a commutative ring with identity. The purpose of this paper is to introduce a new class of modules over R called primeful R-modules. Every nonzero primeful module possesses the non-empty prime spectrum with the surjective natural map. This class contains the family of finitely generated R-modules properly. We show that the theory of prime submodules of primeful modules resembles to that of finitely generated modules.