About: Quasi-finite field

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In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e. non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite.

Attributes	Values
rdfs:label	Corps quasi-fini (fr) Quasi-finite field (en)
rdfs:comment	In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e. non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite. (en) En mathématiques, un corps quasi-fini est une généralisation d'un corps fini. La théorie des corps de classes locaux traite généralement de corps à valuation complets dont le corps résiduel est fini (c'est-à-dire un corps local non-archimédien), mais la théorie s'applique aussi bien lorsque le corps résiduel est seulement supposé quasi-finis. (fr)
dct:subject	Class field theory Field (mathematics)
Wikipage page ID	4644135 (xsd:integer)
Wikipage revision ID	1045233983 (xsd:integer)
Link from a Wikipage to another Wikipage	Puiseux series Algebraic closure Complete valued field Complex number Mathematics Local Fields Topological group Galois group Local class field theory American Mathematical Society Cyclic extension Finite field Formal Laurent series Formal power series Non-archimedean local field Graduate Texts in Mathematics Isomorphism Class field theory Field (mathematics) Field extension Integer Perfect field Krull topology Frobenius element Springer-Verlag Profinite completion
sameAs	Quasi-finite field Quasi-finite field Quasi-finite field Quasi-finite field
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist
has abstract	In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e. non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite. (en) En mathématiques, un corps quasi-fini est une généralisation d'un corps fini. La théorie des corps de classes locaux traite généralement de corps à valuation complets dont le corps résiduel est fini (c'est-à-dire un corps local non-archimédien), mais la théorie s'applique aussi bien lorsque le corps résiduel est seulement supposé quasi-finis. (fr)
gold:hypernym	Generalisation
prov:wasDerivedFrom	wikipedia-en:Quasi-finite_field?oldid=1045233983&ns=0
page length (characters) of wiki page	3677 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quasi-finite_field
is Link from a Wikipage to another Wikipage of	Conductor (class field theory) Finite field Hyper-finite field Pseudo-finite field Perfect field Quasi finite field Quasifinite field
is Wikipage redirect of	Quasi finite field Quasifinite field
is foaf:primaryTopic of	wikipedia-en:Quasi-finite_field

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