On the rank of certain finite fields
Copyright policy )On the rank of certain finite fields
Let \(L\) and \(K\) be two fields with \(L\) a simple extension of \(K\). By \(R(L/K)\) the author means the rank of the tensor associated to multiplication in \(L\) viewed as an \(K\)-algebra. In this paper the author shows that \(R(\mathbb{F}_{q^ n}/\mathbb{F}_ q)\) has one of two possible values when \({1\over 2}q+1
- University of Bonn Germany
Finite ground fields in algebraic geometry, field extension, Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of polynomial rings over finite fields, \(\mathbb{F}_ q\)-rational points
Finite ground fields in algebraic geometry, field extension, Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of polynomial rings over finite fields, \(\mathbb{F}_ q\)-rational points
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!