Modules for which the natural map of the maximal spectrum is surjective
Volume 119 / 2010
Colloquium Mathematicum 119 (2010), 217-227
MSC: 13E05, 13C99.
DOI: 10.4064/cm119-2-4
Abstract
Let $R$ be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over $R$, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.
