Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$

Authors

  • Manouchehr Misaghian Department of Mathematics, Prairie View A&M University Prairie View, TX 77446-USA

Abstract

In this paper we will characterize the structure of factor rings for $\mathbb{Z}\left[ \omega \right]$ where $\omega=\frac{-1+\sqrt{-3}}{2},$is a 3rd primitive root of unity. Consequently, we can recognize prime numbers(elements) and their ramifications in $\mathbb{Z}\left[ \omega \right]$.

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Published

2013-07-17

How to Cite

Misaghian, M. (2013). Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$. Armenian Journal of Mathematics, 5(1), 58-68. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/90

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Articles