Armenian Journal of Mathematics, 5(1)
2013; 58–68
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Factor Rings and their decompositions in the Eisenstein integers Ring Z [ ω ]

Manouchehr Misaghian*

Received: 2024-12-19 · Published: 2013-07-17

© 2013 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Factor Rings and their decompositions in the Eisenstein integers Ring Z [ ω ]
Author
Manouchehr Misaghian
Source journal
Armenian Journal of Mathematics, 5(1)
Published
2013-07-17
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/90

Abstract

In this paper we will characterize the structure of factor rings for Z[ω]Z[ω] where ω=−1+√−32,ω=−1+−32,is a 3rd primitive root of unity. Consequently, we can recognize prime numbers(elements) and their ramifications in Z[ω]Z[ω].
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