Unique factorization

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Unique factorization

,In number theory, a branch of mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem, states that every integer ... ,對於一般的unique factorization domain R 由於R 不一定是Euclidean domain, 所以無法用類似輾轉相除法的方法求greatest common divisor. 然而若a, b $ -in$ ... ,differ by an invertible factor. ... is not prime either. An integral domain where every nonzero noninvertible element admits a unique irreducible factorization is ... ,A unique factorization domain, called UFD for short, is any integral domain in which every nonzero noninvertible element has a unique factorization, i.e., ... ,在數學中,唯一分解整环(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(或素元)之積,並且表示法在允許重排與 ... ,Unique Prime Factorization ... The Fundamental Theorem of Arithmetic states that every natural number greater than 1 can be written as a product of prime numbers ... ,What is the Unique Factorization Theorem? · Every whole number greater than one is the product of a unique list of prime numbers (or just itself if it is a prime ...

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Unique factorization 相關參考資料
Unique factorization domain - Wikipedia

https://en.wikipedia.org

Fundamental theorem of arithmetic - Wikipedia

In number theory, a branch of mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem, states that every integer ...

https://en.wikipedia.org

Unique factorization domain 的基本性質

對於一般的unique factorization domain R 由於R 不一定是Euclidean domain, 所以無法用類似輾轉相除法的方法求greatest common divisor. 然而若a, b $ -in$ ...

http://math.ntnu.edu.tw

Unique Factorization -- from Wolfram MathWorld

differ by an invertible factor. ... is not prime either. An integral domain where every nonzero noninvertible element admits a unique irreducible factorization is ...

https://mathworld.wolfram.com

Unique Factorization Domain -- from Wolfram MathWorld

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

https://mathworld.wolfram.com

唯一分解整環- 维基百科,自由的百科全书

在數學中,唯一分解整环(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(或素元)之積,並且表示法在允許重排與 ...

https://zh.wikipedia.org

Unique Prime Factorization - Varsity Tutors

Unique Prime Factorization ... The Fundamental Theorem of Arithmetic states that every natural number greater than 1 can be written as a product of prime numbers ...

https://www.varsitytutors.com

Prime Factorization & The Unique Factorization Theorem

What is the Unique Factorization Theorem? · Every whole number greater than one is the product of a unique list of prime numbers (or just itself if it is a prime ...

https://www.bubblyprimes.com