Euclidean domain:Euclidean domain
Euclidean domain
Inmathematics,morespecificallyinringtheory,aEuclideandomainisanintegraldomainthatcanbeendowedwithaEuclideanfunctionwhichallowsa ...。其他文章還包含有:「2.2EuclideanDomains」、「20.EuclideanDomainsLetRbeanintegral...」、「8.3」、「AbstractAlgebra」、「EuclideandomaininnLab」、「ringtheory」、「代數導論二Week2(Part3)」、「歐幾里得整環」
查看更多 離開網站2.2 Euclidean Domains
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20. Euclidean Domains Let R be an integral ...
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The ring Z is a Euclidean domain. The function d is the absolute value. Definition 20.3. Let R be a ring and let f ∈ R[x] be a ...
8.3
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The norm on polynomials is the degree of the polynomial. Definition 8.2.1: Euclidean Domain. A Euclidean domain is an integral domain R ...
Abstract Algebra
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Euclidean domain in nLab
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A Euclidean domain is an integral domain which admits a form of the Euclidean quotient-and-remainder algorithm familiar from school ...
ring theory
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An integral domain E is called Euclidean domain if there exist a function (often called as norm) f from non zero elements of E to the non ...
代數導論二Week 2 (Part 3)
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Euclidean Domain 就是一個integral domain 上面加一個norm,也就是一個把環打到正整數或0 0 的函數,唯一的要求就是把0 0 打到0 0 。 例子:整數. 舉例來說Z Z 搭配取 ...
歐幾里得整環
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在抽象代數中,歐幾里得整環(Euclidean domain)是一種能作輾轉相除法的整環。凡 ... 文獻 編輯. Motzkin. The Euclidean algorithm, Bull. Amer. Math. Soc. 55, (1949) ...