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Algebraic independence

Known as: Algebraically independent, Algebraically dependent, Algebraic dependence 
In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non-trivial… Expand
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2008
2008
Usually creative telescoping is used to derive recurrences for sums. In this article we show that the non-existence of a creative… Expand
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Highly Cited
2005
Highly Cited
2005
Non-commutative polynomial algebras appear in a wide range of applications, from quantum groups and theoretical physics to linear… Expand
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Highly Cited
2004
Highly Cited
2004
Let A = F [x1, x2, . . . , xn] be a ring of polynomials over a field F on the variables x1, x2, . . . , xn. It is well known (see… Expand
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2002
2002
A general class of growing networks is constructed with both preferential and random attachments, which includes random and scale… Expand
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Highly Cited
1999
Highly Cited
1999
We show that if the private exponent d used in the RSA public-key cryptosystem is less than N0:292 then the system is insecure… Expand
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1999
1999
  • Jacques Stern
  • Lecture Notes in Computer Science
  • 1999
  • Corpus ID: 29690672
We show that if the private exponent d used in the RSA public-key cryptosystem is less than N then the system is insecure. This… Expand
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1994
1994
Abstract Mutual stochastic independences among σ-algebras and mutual algebraic independences among elements of semimodular… Expand
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1986
1986
This action of G defines an action of G on an algebra C[W] = C[xo(l), • , Xij(l)] of all polynomial functions on W. We denote by… Expand
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Highly Cited
1974
Highly Cited
1974
Let the region S={(x, y)∥μ(x+iy, x−iy)>0} be the interior of Steiner's hypocycloid, where μ(z, z)=−z2z2+4z3+4z3−18zz+27. For each… Expand
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Highly Cited
1964
Highly Cited
1964
PROOF. Approximate fi, * *, fm by real polynomials F1, * , Fm of the same degrees whose coefficients are algebraically… Expand
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