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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2017

We show that an everywhere regular foliation $\mathcal F$ with compact canonically polarized leaves on a quasi-projective…

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…

2010

Can the set R n f0g be covered by countably many linearly (algebraically) independent subsets over the field Q? We use a matroid…

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…

1979

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

1976

Let K D M D k be a chain of fields of characteristic p j= 0 where K is separable over M and M is purely inseparable over k…

1972

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