ON SEMIPRIME SUBSEMIMODULES AND RELATED RESULTS

Hamid Agha Tavallaee; Masoud Zolfaghari

doi:10.22342/jims.19.1.129.49-59

Hamid Agha Tavallaee ⁽¹⁾ , Masoud Zolfaghari ⁽²⁾

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

(2) Department of Mathematics, Semnan University, Semnan,, Iran, Islamic Republic of

https://doi.org/10.22342/jims.19.1.129.49-59

Issue
Volume 19 Number 1 (April 2013)

Submitted
May 30, 2013

Accepted
May 30, 2013

Published
May 30, 2013

Keywords:

Semiprime subsemimodule, Strong semiprime k-subsemimodule, S- semiring, S-semimodule.

Abstract Full Paper

Abstract

In this paper we introduce the notions of semiprime subsemimodules and semiprime k-subsemimodules and present some characterizations about them. Special attention has been paid, when semimodules are multiplication, to find extra properties of these semimodules. Moreover we prove a result for semiprime subsemimodules of quotient semimodules.

DOI : http://dx.doi.org/10.22342/jims.19.1.129.49-59

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Authors

Hamid Agha Tavallaee

Department of Mathematics, Tehran-North Branch, Islamic Azad University, Tehran

tavallaee@iust.ac.ir (Primary Contact)

Masoud Zolfaghari

Department of Mathematics, Semnan University, Semnan,

Tavallaee, H. A., & Zolfaghari, M. (2013). ON SEMIPRIME SUBSEMIMODULES AND RELATED RESULTS. Journal of the Indonesian Mathematical Society, 19(1), 49–59. https://doi.org/10.22342/jims.19.1.129.49-59