Factor Rings and their decompositions in the Eisenstein integers Ring Z [ ω ]

Author(s)

Factor Rings and their decompositions in the Eisenstein integers Ring Z [ ω ] Manouchehr Misaghian

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].

DOI: https://armjmath.sci.am/index.php/ajm/article/view/90 Armenian Journal of Mathematics, 5(1) 58-68

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Keywords

Euclidean Domain, Unique Factorization Domain, Factor ring, Eisenstein inte-gers

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