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Unique factorization

「Unique factorization」文章包含有:「1.11」、「Fundamentaltheoremofarithmetic」、「PrimeFactorization&TheUniqueFactorizationTheorem」、「Section45」、「UniqueFactorization」、「Uniquefactorizationdomain」、「UniqueFactorizationDomain」、「代數導論Week34」、「唯一分解整環」

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Unit idealLargest prime numberPrime irreducibleirreducible element exampleGauss lemma quadratic reciprocityPrime elementPolynomial ring over ufd is ufdIrreducible but not primeIntegral domain but not ufdGauss sumPrinciple ringPrincipal idealGaussian coefficientIrreducible elementIntegral domain field
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1.11
1.11

https://math.libretexts.org

1.11: Unique Factorization ; n · can be expressed as a product ; n ·, for some positive integer ; s, where each ; pi is prime and this factorization ...

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Fundamental theorem of arithmetic
Fundamental theorem of arithmetic

https://en.wikipedia.org

In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer ...

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Prime Factorization & The Unique Factorization Theorem
Prime Factorization & The Unique Factorization Theorem

https://www.bubblyprimes.com

At it's essence, Prime Factorization means breaking a number into a list of all of its prime factors. The Unique Factorization Theorem says that no matter how ...

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Section 45
Section 45

https://jupiter.math.nycu.edu.

factorization property, we say it is a unique factorization domain (UFD). • If an integral domain has the property that every ideal is.

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Unique Factorization
Unique Factorization

https://mathworld.wolfram.com

An integral domain where every nonzero noninvertible element admits a unique irreducible factorization is called a unique factorization domain. See also.

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Unique factorization domain
Unique factorization domain

https://en.wikipedia.org

In mathematics, a unique factorization domain (UFD) is a ring in which a statement analogous to the fundamental theorem of arithmetic holds.

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Unique Factorization Domain
Unique Factorization Domain

https://mathworld.wolfram.com

A unique factorization domain, called UFD for short, is any integral domain in which every nonzero noninvertible element has a unique factorization, i.e., ...

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代數導論Week 34
代數導論Week 34

https://hackmd.io

代數導論Week 3/4 - Unique Factorization Domain · 定義:UFD · 引理:PID 滿足Ascending Chain Condition (L4) · 定理:PID 都是UFD · 觀察:UFD 中的Prime 都Irreducible ...

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唯一分解整環
唯一分解整環

https://zh.wikipedia.org

在數學中,唯一分解整環(Unique factorization domain)是一個整環,其中元素都可以表示成有限個不可約元素(或質元素)之積,並且表示法在允許重排與 ...