On the Classical Primary Radical Formula and Classical Primary Subsemimodules

Authors

  • Pairote Yiarayong Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University,Phitsanuloke 65000, Thailand
  • Phakakorn Panpho

Keywords:

classical primary subsemimodule, primary subsemimodule, classical primary radical, classical primary radical formula.

Abstract

In this paper, we characterize the classical primary radical of subsemimodules and classical primary subsemimodules of semimodules over a commutative semirings. Furthermore we prove that if  $N_{j}$ is a classical primary subsemimodule of  $M_{j}$ then $N_{j}$ is to satisfy the classical primary radical formula in $M_{j}$ if and only if $M{1}\times M_{2}\times\ldots \times M_{J-1} \times N_{j}\timesM_{j+1}\times\ldots\times M_{n}$  is to satisfy the classical primary radical formula in $M$.

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Published

2014-10-15

How to Cite

Yiarayong, P., & Panpho, P. (2014). On the Classical Primary Radical Formula and Classical Primary Subsemimodules. Asian Journal of Applied Sciences, 2(5). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/1780

Issue

Vol. 2 No. 5 (2014): October 2014

Section

Articles

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