Some Properties of Multiplication Modules

Hamid Tavallaee; Robabeh Mahtabi

doi:10.22342/jims.23.2.276.47-53

Hamid Tavallaee ⁽¹⁾ , Robabeh Mahtabi ⁽²⁾

(1) Tehran-North Branch, Islamic Azad University, Tehran, Iran, Iran, Islamic Republic of,

(2) University of Garmsar, Garmsar, Semnan, Iran

https://doi.org/10.22342/jims.23.2.276.47-53

Issue
Volume 23 Number 2 (October 2017)

Submitted
August 2, 2016

Accepted
June 11, 2017

Published
December 24, 2017

Keywords:

Multiplication module, Prime submodule, Primary submodule

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Abstract

Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = IM, where I is an ideal of R. In this paperwe state some basic properties of multiplication modules.

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Authors

Hamid Tavallaee

Tehran-North Branch, Islamic Azad University, Tehran, Iran

tavallaee@iust.ac.ir (Primary Contact)

Robabeh Mahtabi

University of Garmsar, Garmsar, Semnan, Iran

Author Biographies

Hamid Tavallaee, Tehran-North Branch, Islamic Azad University, Tehran, Iran

Department of Mathematics, Associate professor

Robabeh Mahtabi, University of Garmsar, Garmsar, Semnan, Iran

Faculty of sciences, Assistant professor

Tavallaee, H., & Mahtabi, R. (2017). Some Properties of Multiplication Modules. Journal of the Indonesian Mathematical Society, 23(2), 47–53. https://doi.org/10.22342/jims.23.2.276.47-53