Generalization of Semiprime Subsemimodules

Authors

  • F Farzalipour Department of Mathematics, Payame Noor University P.O.BOX 19395-3697 Tehran
  • P Ghiasvand Department of Mathematics, Payame Noor University (PNU), P.O.BOX 19395-3697, Tehran

DOI:

https://doi.org/10.3329/jbas.v40i2.30774

Keywords:

Almost semiprime, Multiplication semimodule, Weakly semiprime

Abstract

The authors introduce the concept of almost semiprime subsemimodules of semimodules over a commutative semiring R. They investigated some basic properties of almost semiprime and weakly semiprime subsemimodules and gave some characterizations of them, especially, for (fnitely generated faithful) multiplication semimodules. They also study the relations among the semiprime, weakly semiprime and almost semiprime subsemimodules of semimodules over semirings.

Journal of Bangladesh Academy of Sciences, Vol. 40, No. 2, 187-197, 2016

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Author Biography

F Farzalipour, Department of Mathematics, Payame Noor University P.O.BOX 19395-3697 Tehran



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Published

2016-12-22

How to Cite

Farzalipour, F., & Ghiasvand, P. (2016). Generalization of Semiprime Subsemimodules. Journal of Bangladesh Academy of Sciences, 40(2), 187–197. https://doi.org/10.3329/jbas.v40i2.30774

Issue

Vol. 40 No. 2 (2016)

Section

Articles