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… (More)
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2011
2011
We present a single common tool to strictly subsume all known cases of polynomial time blackbox polynomial identity testing (PIT… (More)
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2009
2009
Let A be a finitely generated K-algebra that is a domain of GK dimension less than 3, and let Q(A) denote the quotient division… (More)
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2006
2006
Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by Htr D, is defined to be… (More)
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2005
2005
The basic problem of approximation to real numbers by algebraic numbers of bounded degree has attracted much attention since the… (More)
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2004
2004
where (a) the group of cycles Z(V ) is the free abelian group on scheme-theoretic points of V of codimension p and (b) rational… (More)
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2002
2002
For a smooth complex projective variety X defined over a number field, we have filtrations on the Chow groups depending on the… (More)
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2002
2002
We extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its… (More)
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2001
2001
In this paper we present an algorithm to compute all unirational fields of transcendence degree one, containing a given finite… (More)
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2000
2000
Let <i>k</i>(<i>x</i><inf>1</inf>,&hellip;, <i>x<inf>n</inf></i>)/<i>k</i> be a finitely generated field extension, and <i>g</i… (More)
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1997
1997
We examine the transcendence degree of the mod p cohomology of a finite Postnikov system E. We prove that, under mild assumptions… (More)
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