Unique factorization：唯一分解整環
唯一分解整環
1.11
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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
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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
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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 ...
Section 45
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factorization property, we say it is a unique factorization domain (UFD). • If an integral domain has the property that every ideal is.
Unique Factorization
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An integral domain where every nonzero noninvertible element admits a unique irreducible factorization is called a unique factorization domain. See also.
Unique factorization domain
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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
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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
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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 ...