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Transcendence degree

Known as: Purely transcendental, Transcendence basis, Trdeg 
In abstract algebra, the transcendence degree of a field extension L /K is a certain rather coarse measure of the "size" of the extension… 
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Related topics

Related topics

7 relations
Algebraic independenceAlgebraic matroidBasis (linear algebra)Dimension of an algebraic variety

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Quadratic polynomial maps with Jacobian rank two
2015
2015
A Direct Proof of a Theorem concerning Treed Overrings
We improve and provide a direct proof of a theorem that answered a question by Dobbs about treed overrings. More precisely, we… 
2014
2014
Essential dimension of Albert algebras
This paper shows that the number of independent parameters required to describe an Albert algebra up to isomorphism is at most… 
2013
2013
Rational invariants for subgroups of S_5 and S_7
2013
2013
The bio-century challenge: life in a holistic context. ... To engage in celebrating the scholarly contribution of the South African systematic-theologian
My engagement in this article with the South African systematic theologian Cornel du Toit in recognition of his valued… 
2010
2010
New topics in feminist philosophy of religion : contestations and transcendence incarnate
Introduction. Section I - Contestations: Concepts and Practices. 1. Feminists and Fools: Imagination and Philosophy of Religion… 
2007
2007
Noether’s Problem for Some p-Groups
Let K be any field and G be a finite group. Let G act on the rational function field K(x g : g ∈ G) by K-automorphisms defined by… 
2000
2000
Recognizing Simple Subextensions of Purely Transcendental Field Extensions
Abstract. Let k(X)/k be a finitely generated purely transcendental extension of fields with transcendence basis X. From a… 
1997
1997
THE TRANSCENDENCE DEGREE OF THE MOD p COHOMOLOGY OF FINITE POSTNIKOV SYSTEMS
In this paper we examine the transcendence degree of the mod p cohomology of a nite Postnikov system E. We prove that, under mild… 
1979
1979
Integration of simple radical extensions
I. Intzodu cUon Risch's landmarh paper [Ris89] presen ted the first decision proced~re for the integration of elementary… 
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