Unique factorization：Section 45
Section 45
factorizationproperty,wesayitisauniquefactorizationdomain(UFD).•Ifanintegraldomainhasthepropertythateveryidealis.。其他文章還包含有：「1.11」、「Fundamentaltheoremofarithmetic」、「PrimeFactorization&TheUniqueFactorizationTheorem」、「UniqueFactorization」、「Uniquefactorizationdomain」、「UniqueFactorizationDomain」、「代數導論Week34」、「唯一分解整環」
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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 ...
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 ...
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 ...
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.
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.
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., ...
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 ...
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 ...