英语词汇zero divisor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	zero divisor
释义	BETA Examples ofzero divisor Dictionary> Examples ofzero divisor zero divisorisn’t in the Cambridge Dictionary yet. You can help! Add a definition Similarly, an element of a ring is called a rightzerodivisorif there exists a nonzero such that. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An element that is a left or a rightzerodivisoris simply called azerodivisor. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A weaker notion of being bad, weaker than being azerodivisor, is being a non-unit (not invertible under multiplication). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The conjecture remains open in full generality, however some special cases of torsion-free groups have been shown to satisfy thezerodivisorconjecture. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The converse does not hold: an element which is not azerodivisoris not guaranteed to have a multiplicative inverse. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An element of a ring that is not azerodivisoris called regular, or a non-zero-divisor. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Any non-trivial idempotent "a" is azerodivisor(because with neither "a" nor "b" being zero, where). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A rightzerodivisoris defined similarly. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The naive solution is to replace the fraction field by the total quotient ring, that is, to invert every element that is not azerodivisor. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An element that is both a left and a rightzerodivisoris called a two-sidedzerodivisor(the nonzero such that may be different from the nonzero such that). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A torsion-free module is a module over a ring such that 0 is the only element annihilated by a regular element (nonzero-divisor) of the ring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the ring or algebra is finite, however, then all elements "a" which are not zero divisors do have a (left and right) inverse. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. That is, it is a ring which has no left or right zero divisors. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The zero-product property is also known as the rule of zero product or nonexistence of nontrivial zero divisors. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Indeed, they are (trivially) zero divisors and clearly form an ideal of the associative algebra (and thus ring) of the dual numbers. 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：2025/1/19 3:18:27