%0 Journal Article %T NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Yousefian Darani, A. %D 2015 %\ 01/01/2015 %V 3 %N 2 %P 201-210 %! NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS %K Noetherian rings %K Noetherian modules, Finitely generated submodules, Divided submodules, Phi-modules %R 10.22044/jas.2015.618 %X In this paper we introduce a new class of modules which is closely related to the class of Noetherian modules. Let $R$ be a commutative ring with identity and let $M$ be an $R$-module such that $Nil(M)$ is a divided prime submodule of $M$. $M$ is called a Nonnil-Noetherian $R$-module if every nonnil submodule of $M$ is finitely generated. We prove that many of the properties of Noetherian modules are also true for Nonnil-Noetherian modules. %U https://jas.shahroodut.ac.ir/article_618_ab7aebe1bfa094cd9b11cca2200588f0.pdf