residue field मीनिंग इन हिंदी

उदाहरण वाक्य

1. Equivalently, the product is over all points whose residue field is finite.
2. In contrast to one-dimensional local fields, higher local fields have a sequence of residue fields.
3. There are different integral structures on higher local fields, depending how many residue fields information one wants to take into account.
4. Since morphisms of fields are injective, the surjection of the residue fields induced by " g " is an isomorphism.
5. The inertia group measures the difference between the local Galois groups at some place and the Galois groups of the involved finite residue fields.
6. If a field, a point is also called a "'rational point "'if its residue field is isomorphic to.
7. This theory concerns extensions of " local " ( i . e ., complete for a discrete valuation ) fields with finite residue field.
8. Let " R " be a complete local Noetherian commutative ring with maximal ideal \ mathfrak { m } and residue field " K ".
9. An equivalent definition of a non-Archimedean local field is that it is a field that is complete with respect to a discrete valuation and whose residue field is finite.
10. They were introduced by for abelian varieties over the quotient field of a Dedekind domain " R " with perfect residue fields, and extended this construction to semiabelian varieties over all Dedekind domains.