separable extension造句
例句與造句
- Notably Hilbertianity is preserved under finite separable extensions and abelian extensions.
- The primitive element theorem states a finite separable extension is simple.
- Equivalently, L is 閠ale if it is isomorphic to a finite product of separable extensions of K.
- For example, a separable extension R of a semisimple algebra S has R semisimple, which follows from the preceding discussion.
- Examples of separable extensions are many including first separable algebras where R = separable algebra and S = 1 times the ground field.
- It's difficult to find separable extension in a sentence. 用separable extension造句挺難的
- If " A " happens to be a field, then this is equivalent to the usual definition in field theory ( cf . separable extension .)
- That is, if E / F is a separable extension of degree " n ", there exists \ alpha \ in E such that the set
- A " separable extension " is an extension that may be generated by " separable elements ", that is elements whose minimal polynomials are separable.
- *PM : integral closures in separable extensions are finitely generated, id = 9323 new !-- WP guess : integral closures in separable extensions are finitely generated-- Status:
- *PM : integral closures in separable extensions are finitely generated, id = 9323 new !-- WP guess : integral closures in separable extensions are finitely generated-- Status:
- Usually relative properties of subrings or ring extensions, such as the notion of separable extension, serve to promote theorems that say that the over-ring shares a property of the subring.
- More interestingly, any ring R with elements a and b satisfying ab = 1, but ba different from 1, is a separable extension over the subring S generated by 1 and bRa.
- The above implies that there is an equivalence of categories between the finite unramified extensions of a local field " K " and finite separable extensions of the residue field of " K ".
- The extreme opposite of the concept of separable extension, namely the concept of purely inseparable extension, also occurs quite naturally, as every algebraic extension may be decomposed in a unique way as a purely inseparable extension of separable extension.
- The extreme opposite of the concept of separable extension, namely the concept of purely inseparable extension, also occurs quite naturally, as every algebraic extension may be decomposed in a unique way as a purely inseparable extension of separable extension.
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