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…

Papers overview

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2014

Let (Fn)n≥0 and (Ln)n≥0 denote the Fibonacci and Lucas sequences. The present work studies algebraic independence of the numbers…

2012

The classic Schneider-Lang theorem in transcendence theory asserts that there are only finitely many points at which…

2011

We compute the essential p-dimension of split simple groups of type An−1 in terms of the functor Alg(n,m) of central simple…

2007

This paper investigates the Kronecker canonical form of matrix pencils under the genericity assumption that the set of nonzero…

2005

CONTENTS Introduction 1 1. Preliminaries 6 2. Generic stabilisers (centralisers) for the adjoint representation 9 3. Generic…

2003

The goal of this paper is to describe in an explicit form the algebraic dependence among the elements of the centre of the…

1996

A matrix $A=\bigl(\begin{smallmatrix}Q\\T\end{smallmatrix}\bigr)$ is called a layered mixed matrix (LM-matrix) if the set of…

1992

I reproduce an elementary proof for the jacobian criterion for algebraic dependence and give an introduction to the basics of…

1979

. For each prime p we construct in several ways a canonical sequence of divided powers and give an elementary proof that its…

1972

The ring of invariant polynomials for the ad joint action of a Lie group on its Lie algebra is described for the inhomogeneous…