ON SEMIPRIME SUBSEMIMODULES AND RELATED RESULTS | Tavallaee | Journal of the Indonesian Mathematical Society 129 350 1 PB

J. Indones. Math. Soc.
Vol. 19, No. 1 (2013), pp. 49–59.

ON SEMIPRIME SUBSEMIMODULES
AND RELATED RESULTS
Hamid Agha Tavallaee1 and Masoud Zolfaghari2
1

Department of Mathematics, Tehran-North Branch,
Islamic Azad University, Tehran, Iran
tavallaee@iust.ac.ir
1
Department of Mathematics, Semnan University, Semnan, Iran
m zolfaghari@iust.ac.ir

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.
Key words: Semiprime subsemimodule, Strong semiprime k-subsemimodule, Ssemiring, S-semimodule.

2000 Mathematics Subject Classification: .
Received: 07-06-2012, revised: 14-02-2013, accepted: 12-04-2013.