Some Characteristics of Prime Cyclic Ideal On Gaussian Integer Ring Modulo

Gaussian modulo integer is a complex number a + ib where a,b ∊ ℤ n. Some of the characteristics of the prime ideal on Gaussian integer are a trivial ideal {0} is a prime ideal, and I ideal prime if and only if I almost prime ideal. These characteristics do not necessarily apply to modulo Gaussian in...

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Bibliographic Details
Published inIOP conference series. Materials Science and Engineering Vol. 1115; no. 1
Main Authors Misuki, W U, I G A W Wardhana, Switrayni, N W
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.03.2021
Subjects
Complex numbers
Integers
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Summary:Gaussian modulo integer is a complex number a + ib where a,b ∊ ℤ n. Some of the characteristics of the prime ideal on Gaussian integer are a trivial ideal {0} is a prime ideal, and I ideal prime if and only if I almost prime ideal. These characteristics do not necessarily apply to modulo Gaussian integers. In this paper, we give some characteristics of the prime ideal on modulo Gaussian integer.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/1115/1/012084