On alpha-prime and Weakly alpha-prime Submodules

Authors

  • Thawatchai Khumprapussorn King Mongkut's Institute of Technology Ladkrabang

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3275

Keywords:

$\alpha$-prime submodules, weakly $\alpha$-prime submodules, $\alpha$-prime ideals, weakly $\alpha$-prime ideals

Abstract

We have introduced the notion of $\alpha$-prime and weakly $\alpha$-prime submodules as a generalization of prime submodules. Some basic properties of $\alpha$-prime and weakly $\alpha$-prime submodules are the extension of prime submodules. Finally, after introducing the notion of $\alpha$-prime submodules, we also define and study the concept of $\alpha$-prime ideals in a ring.

Author Biography

  • Thawatchai Khumprapussorn, King Mongkut's Institute of Technology Ladkrabang
    http://www.math.sci.kmitl.ac.th/include/view.php?p_id=21

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Published

2018-07-31

Issue

Vol. 11 No. 3: (July 2018)

Section

Mathematical Statistics

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How to Cite

On alpha-prime and Weakly alpha-prime Submodules. (2018). European Journal of Pure and Applied Mathematics, 11(3), 730-739. https://doi.org/10.29020/nybg.ejpam.v11i3.3275