Unique factorization domain
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「Unique factorization domain」文章包含有：「Lecture11」、「Noncommutativeuniquefactorizationdomain」、「NOTESONUNIQUEFACTORIZATIONDOMAINSAlfonso...」、「Section45」、「Uniquefactorizationdomain」、「UniqueFactorizationDomain」、「uniquefactorizationdomaininnLab」、「UniqueFactorizationDomains」、「唯一分解整環」、「說明」
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Lecture 11
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Motiveted the unique factorization into primes (irreducibles) in Z, we investigate the integral domains which have this property. Definition. Let R be a ...
Noncommutative unique factorization domain
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In mathematics, a noncommutative unique factorization domain is a noncommutative ring with the unique factorization property.
NOTES ON UNIQUE FACTORIZATION DOMAINS Alfonso ...
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We say that R is a unique factorization domain or. UFD when the following two conditions happen: • Every a ∈ R which is not zero and not a unit ...
Section 45
https://jupiter.math.nycu.edu.
In general, if an integral domain has the unique factorization property, we say it is a unique factorization domain (UFD). • If an integral domain has the ...
Unique factorization domain
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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., ...
unique factorization domain in nLab
https://ncatlab.org
A principal ideal domain (PID) is a UFD. (In particular, a Euclidean domain is a UFD.) As a partial converse, a Dedekind domain that is a UFD is a PID.
Unique Factorization Domains
https://www.jstor.org
A commutative integral domain with unique factorization of ideals is called a Dedekind domain; such a ring is necessarily Noetherian, i.e., it satisfies the as-.
唯一分解整環
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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 ...
說明
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