ON SEMIPRIME SUBSEMIMODULES AND RELATED RESULTS

Hamid Agha Tavallaee, Masoud Zolfaghari

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


Keywords


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

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Abstract Full Paper


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

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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