Some Basic Properties of Weakly Classical Primary and Classical Primary Subsemimodules in Semimodules

Authors

  • Pairote Yiarayong
  • Phakakorn Panpho

Keywords:

semimodule, classical primary subsemimodule, weakly classical primary subsemimodule, -subsemimodule, primary ideal.

Abstract

In this paper, we study classical primary and weakly classical primary subsemimodules in semimodules over a semirings. Some characterizations of classical primary and weakly classical primary subsemimodules are obtained. Moreover, we investigate relationships classical primary and weakly classical primary subsemimodules in semimodules over a semirings. Finally, we obtain necessary and sufficient conditions of a weakly classical primary to be a classical primary.

 

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Published

2015-02-15

How to Cite

Yiarayong, P., & Panpho, P. (2015). Some Basic Properties of Weakly Classical Primary and Classical Primary Subsemimodules in Semimodules. Asian Journal of Applied Sciences, 3(1). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/2115

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