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

• Autorzy: H. Ansari-Toroghy , R. Ovlyaee-Sarmazdeh
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 13E05: Noetherian rings and modules
• 13C99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 2
• Strony: 217-227

Daty

wydano

2010

Twórcy

autor

H. Ansari-Toroghy

• Department of Mathematics, Faculty of Science, University of Guilan, P.O. Box 1914, Rasht, Iran

autor

R. Ovlyaee-Sarmazdeh

• Department of Mathematics, Faculty of Science, University of Guilan, P.O. Box 1914, Rasht, Iran

Identyfikatory

DOI

10.4064/cm119-2-4