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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

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

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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