Unique factorization domain: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」
查看更多 離開網站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.
Section 45
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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
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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., ...
unique factorization domain in nLab
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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
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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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