AbstractLet V be a vector space over the field k (of a possibly infinite dimension) and let t be an automorphism of V (of a possibly infinite order). Assume that t is algebraic with minimal polynomial P(T)ϵk[T]. Let k(V) be the field of quotients of the symmetric k-algebra of V and let s be the k-automorphism on k(V) induced by t. We show that s is completely determined by P(T) (and dimk(V))
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
SIGLETIB: RO 2556 (1987,34) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
SIGLETIB: RO 2556 (1987,35) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
AbstractLet V be a vector space over the field k (of a possibly infinite dimension) and let t be an ...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
Abstract. Let K[x, y] be the algebra of polynomials in two variables over an arbitrary field K. We s...
AbstractLet K[x,y] be the algebra of polynomials in two variables over an arbitrary field K. We show...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractLet U and V be finite-dimensional vector spaces over a field k, α∈GL(U), β∈GL(V) and I be th...
AbstractBased on the concept of minimal polynomials, we give an elementary proof of the following fa...
The author is indebted to ProfessorGrothendieck for pointing out some serious errors in a previous v...
LetPn=K[x1,...,xn] be the polynomial algebra over a fieldKof characteristic 0. We show that applying...
Based on the concept of minimal polynomials, we give an elementary proof of the following fact: If k...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
Let X be an affine irreducible variety over an algebraically closed field k of char-acteristic zero....
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
SIGLETIB: RO 2556 (1987,34) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
SIGLETIB: RO 2556 (1987,35) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
AbstractLet V be a vector space over the field k (of a possibly infinite dimension) and let t be an ...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
Abstract. Let K[x, y] be the algebra of polynomials in two variables over an arbitrary field K. We s...
AbstractLet K[x,y] be the algebra of polynomials in two variables over an arbitrary field K. We show...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractLet U and V be finite-dimensional vector spaces over a field k, α∈GL(U), β∈GL(V) and I be th...
AbstractBased on the concept of minimal polynomials, we give an elementary proof of the following fa...
The author is indebted to ProfessorGrothendieck for pointing out some serious errors in a previous v...
LetPn=K[x1,...,xn] be the polynomial algebra over a fieldKof characteristic 0. We show that applying...
Based on the concept of minimal polynomials, we give an elementary proof of the following fact: If k...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
Let X be an affine irreducible variety over an algebraically closed field k of char-acteristic zero....
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
SIGLETIB: RO 2556 (1987,34) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
SIGLETIB: RO 2556 (1987,35) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
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