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

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Section

Articles

How to Cite

[1]
M. Misaghian, “Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$”, Armen.J.Math., vol. 5, no. 1, pp. 58–68, Jul. 2013, Accessed: Jan. 21, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/90