2011•Journal of Huaiyin Teachers CollegeRequires access
Research the Principal Ideal and Quotient Ring of Gaussian Integral Domain
Wang Xiao-juan
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Abstract
The definition and some properties of the quotient ring,the unit and the simple element of Gauss integral ring are discussed,element numbers of the quotient ring of Gauss integral ring is researched,and proves one of the two conjectuires of Arch.with a new and elementary method.In light of the Gaussian integral domain,the number of elements of its ring of quotients is m2+n2.