DOI: https://doi.org/10.14710/jfma.v4i2.12189

CHARACTERIZATION OF WEAKLY PRIME SUBMODULE

*Puspa Nur Afifah  -  Sultan Maulana Hasanuddin State Islamic University of Banten, Indonesia
Irawati Irawati  -  Institut Teknologi Bandung, Indonesia

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Abstract

Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules.

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Keywords: Multiplication Modules, Weakly Prime Submodule, Prime Submodule.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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  1. S. E. Atani and F. Farzalipour, ”On weakly prime submodules,” Tamkang J. of Math., Vol 38, no.3, pp. 247-252, 2007
  2. R. Ameri, ”On the prime submodules of multiplication modules,” Inter. J. of Math. and Mathematical Sciences, Vol.27, pp. 1715-1724, 2002
  3. Z. A. El-bast and P. F. Smith, ”Multiplication modules,” Comm. in Algebra, Vol.16, no.4, pp. 755-779, 1988
  4. D. D. Anderson and E. Smith, ”Weakly prime ideals,” Houston J. of Math. Vol. 29, pp. 831-840, 2003

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