Author:
Futa Yuichi,Okazaki Hiroyuki,Mizushima Daichi,Shidama Yasunari
Abstract
Summary
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic.
Subject
Applied Mathematics,Computational Mathematics
Cited by
5 articles.
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