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Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 1

On Dimension of Modules

S. KARIMZADEH, R. NEKOOEI

Pages
95–109
DOI
—

Abstract

In this paper we prove the lying over and going down theorems for modules. Finally, we apply the above theorems and prove some results on the dimension of a module and its submodule.

Özet

In this paper we prove the lying over and going down theorems for modules. Finally, we apply the above theorems and prove some results on the dimension of a module and its submodule.

Keywords: Prime Submodule, Multiplication module, Dimension of a module