| 词汇 | quotient-ring |
| 释义 | BETA quotient ringcollocation in Englishmeanings of quotientand ringThese words are often used together. Click on the links below to explore the meanings. quotient noun[ C ] uk /ˈkwəʊ.ʃənt/ us /ˈkwoʊ.ʃənt/ a particular degree or amount ... See more at quotient ring noun uk /rɪŋ/ us /rɪŋ/ a circle of any material, or any group of things or people in a circular shape ... See more at ring Examples of quotient ringquotient ring This, in turn, is important for the definition of the total quotientring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Then the quotientring is a field of size. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this context, the quotientring concept is one of the most powerful unifiers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Then the quotientring is isomorphic to the ring of tessarines. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Unfortunately, in general, the total quotientring does not produce a presheaf much less a sheaf. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It should not be confused with a quotientring. 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 quotientring, that is, to invert every element that is not a zero divisor. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Any nonzero element of the quotientring will differ by a null sequence from such a sequence, and by taking pointwise inversion we can find a representative inverse element. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is the same construction used for quotient groups and quotient rings. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Indeed, this universal property can be used to "define" quotient rings and their natural quotient maps. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Maximal ideals are important because the quotient rings of maximal ideals are simple rings, and in the special case of unital commutative rings they are also fields. 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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