Modules for which the natural map of the maximal spectrum is surjective

H. Ansari-Toroghy; R. Ovlyaee-Sarmazdeh

Colloquium Mathematicae (2010)

  • Volume: 119, Issue: 2, page 217-227
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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H. Ansari-Toroghy, and R. Ovlyaee-Sarmazdeh. "Modules for which the natural map of the maximal spectrum is surjective." Colloquium Mathematicae 119.2 (2010): 217-227. <http://eudml.org/doc/283563>.

@article{H2010,
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.},
author = {H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh},
journal = {Colloquium Mathematicae},
keywords = {prime submodule; maximal submodule},
language = {eng},
number = {2},
pages = {217-227},
title = {Modules for which the natural map of the maximal spectrum is surjective},
url = {http://eudml.org/doc/283563},
volume = {119},
year = {2010},
}

TY - JOUR
AU - H. Ansari-Toroghy
AU - R. Ovlyaee-Sarmazdeh
TI - Modules for which the natural map of the maximal spectrum is surjective
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 217
EP - 227
AB - 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.
LA - eng
KW - prime submodule; maximal submodule
UR - http://eudml.org/doc/283563
ER -

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