英语词汇unique factorization domain怎么读，是什么意思，单词翻译、读音、固定搭配用法和短语词组及例句-英汉双解词典

　

单词	unique factorization domain
释义	BETA Examples ofunique factorization domain Dictionary> Examples ofunique factorization domain unique factorization domainisn’t in the Cambridge Dictionary yet. You can help! Add a definition Since auniquefactorizationdomainis precisely a ring in which an analogue of the fundamental theorem of arithmetic holds, this question is readily answered. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This ring is a frequently cited example of an integral domain that is not auniquefactorizationdomain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As for every principal ideal domain, is also auniquefactorizationdomain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Auniquefactorizationdomainis not necessarily a noetherian ring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Thus, a number field has class number 1 if and only if its ring of integers is a principal ideal domain (and thus auniquefactorizationdomain). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The greatest common divisor may be defined and exists, more generally, for multivariate polynomials over a field or the ring of integers, and also over auniquefactorizationdomain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This property of unique factorization is commonly expressed by saying that the polynomial rings over a field or auniquefactorizationdomainare unique factorization domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A third reason is that the theory and the algorithms for the multivariate case and for coefficients in auniquefactorizationdomainare strongly based on this particular case. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The rings where every irreducible is prime are called unique factorization domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The converse does not hold in general, but does hold for unique factorization domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fundamental theorem of arithmetic continues to hold in unique factorization domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This led to the study of unique factorization domains, which generalize what was just illustrated in the integers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. They showed that regular local rings of dimension 3 are unique factorization domains, and had previously shown that this implies that all regular local rings are unique factorization domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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英汉双解词典包含207842条英汉词条，基本涵盖了全部常用单词的翻译及用法，是英语学习的有利工具。

　

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更新时间：2025/1/31 13:22:17