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separable closure造句

"separable closure"是什么意思   

例句與造句

  1. In general one has to use separable closures instead of algebraic closures.
  2. The separable closure of a field is the separable closure of in an algebraic closure of.
  3. The separable closure of a field is the separable closure of in an algebraic closure of.
  4. The separable closure is the full algebraic closure if and only if " K " is a perfect field.
  5. The separable closure of in an algebraic closure of is simply called the "'separable closure "'of.
  6. It's difficult to find separable closure in a sentence. 用separable closure造句挺難的
  7. The separable closure of in an algebraic closure of is simply called the "'separable closure "'of.
  8. Suppose that such an intermediate extension does exist, and is finite, then, where is the separable closure of in.
  9. A field extension E \ supseteq F is "'separable "', if is the separable closure of in.
  10. Thus the set of all elements in separable over forms a subfield of, called the "'separable closure "'of in.
  11. By definition, is perfect if and only if its separable and algebraic closures coincide ( in particular, the notion of a separable closure is only interesting for imperfect fields ).
  12. When a field " K " is not separably closed, the weight and coweight lattices of a torus over " K " are defined as the respective lattices over the separable closure.
  13. Moreover, in characteristic 2 there are additional possibilities arising not from exceptional isogenies but rather from the fact that for simply connected type C ( I . e ., symplectic groups ) there are roots that are divisible ( by 2 ) in the weight lattice; this gives rise to examples whose root system ( over a separable closure of the ground field ) is non-reduced; such examples exist with a split maximal torus and an irreducible non-reduced root system of any positive rank.
  14. To study all ( closed " subgroups of Gal ( " E " sep / " E " ) and the set of all separable algebraic extensions of " E " ( technically, one only obtains those separable algebraic extensions of " E " that occur as subfields of the " chosen " separable closure " E " sep, but since all separable closures of " E " are isomorphic, choosing a different separable closure would give the same Galois group and thus an " equivalent " set of algebraic extensions ).
  15. To study all ( closed " subgroups of Gal ( " E " sep / " E " ) and the set of all separable algebraic extensions of " E " ( technically, one only obtains those separable algebraic extensions of " E " that occur as subfields of the " chosen " separable closure " E " sep, but since all separable closures of " E " are isomorphic, choosing a different separable closure would give the same Galois group and thus an " equivalent " set of algebraic extensions ).
  16. To study all ( closed " subgroups of Gal ( " E " sep / " E " ) and the set of all separable algebraic extensions of " E " ( technically, one only obtains those separable algebraic extensions of " E " that occur as subfields of the " chosen " separable closure " E " sep, but since all separable closures of " E " are isomorphic, choosing a different separable closure would give the same Galois group and thus an " equivalent " set of algebraic extensions ).

相鄰詞匯

  1. "separable algebra"造句
  2. "separable algebraic closure"造句
  3. "separable algebraic extension"造句
  4. "separable algebras"造句
  5. "separable bearing"造句
  6. "separable connector"造句
  7. "separable contact"造句
  8. "separable differential equation"造句
  9. "separable element"造句
  10. "separable extension"造句
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