| 词汇 | coefficient-ring |
| 释义 | BETA coefficient ringcollocation in Englishmeanings of coefficientand ringThese words are often used together. Click on the links below to explore the meanings. coefficient noun[ C ] uk /ˌkəʊ.ɪˈfɪʃ.ənt/ us /ˌkoʊ.ɪˈfɪʃ.ənt/ a value, in mathematics, that appears in front of and multiplies ... See more at coefficient 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 coefficient ringcoefficient ring The next simplest case is the case when the coefficientring is a principal ideal domain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As the coefficientring becomes more general, the relationship becomes more complicated. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Here, homology and cohomology is taken with coefficients in the ring of integers, but the isomorphism holds for any coefficientring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A square matrix has an inverse if and only if its determinant has an inverse in the coefficientring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The stable homotopy groups form the coefficientring of an extraordinary cohomology theory, called stable cohomotopy theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The cobordism classes of manifolds form a ring that is usually the coefficientring of some generalized cohomology theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Conversely, if a finitely generated algebra is integral (over the coefficientring), then it is finitely generated module. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The proof is valid for arbitrary commutative coefficient rings. 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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