Ostrowski's theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo rational numbers
gptkbp:describes classification of absolute values on the field of rational numbers
gptkbp:field gptkb:mathematics
number theory
https://www.w3.org/2000/01/rdf-schema#label Ostrowski's theorem
gptkbp:namedAfter gptkb:Alexander_Ostrowski
gptkbp:relatedTo field theory
p-adic numbers
absolute value
gptkbp:state Every non-trivial absolute value on the field of rational numbers is equivalent to either the usual absolute value or a p-adic absolute value for some prime p.
gptkbp:yearProposed 1916
gptkbp:bfsParent gptkb:Alexander_Ostrowski
gptkbp:bfsLayer 6