Unique factorization domain:NOTES ON UNIQUE FACTORIZATION DOMAINS Alfonso ...

NOTES ON UNIQUE FACTORIZATION DOMAINS Alfonso ...

NOTES ON UNIQUE FACTORIZATION DOMAINS Alfonso ...

2016年1月21日—WesaythatRisauniquefactorizationdomainor.UFDwhenthefollowingtwoconditionshappen:•Everya∈Rwhichisnotzeroandnotaunit ...。其他文章還包含有:「Lecture11」、「Noncommutativeuniquefactorizationdomain」、「Section45」、「Uniquefactorizationdomain」、「UniqueFactorizationDomain」、「uniquefactorizationdomaininnLab」、「UniqueFactorizationDomains」、「唯一分解整環」、「說明」

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Lecture 11
Lecture 11

https://acikders.ankara.edu.tr

Motiveted the unique factorization into primes (irreducibles) in Z, we investigate the integral domains which have this property. Definition. Let R be a ...

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Noncommutative unique factorization domain
Noncommutative unique factorization domain

https://en.wikipedia.org

In mathematics, a noncommutative unique factorization domain is a noncommutative ring with the unique factorization property.

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Section 45
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 ...

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Unique factorization domain
Unique factorization domain

https://en.wikipedia.org

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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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unique factorization domain in nLab
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.

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Unique Factorization Domains
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-.

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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 ...

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說明
說明

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