منابع مشابه
Some Stably Tame Polynomial Automorphisms
We study the structure of length three polynomial automorphisms of R[X, Y ] when R is a UFD. These results are used to prove that if SLm(R[X1, X2, . . . , Xn]) = Em(R[X1, X2, . . . , Xn]) for all n,≥ 0 and for all m ≥ 3 then all length three polynomial automorphisms of R[X, Y ] are stably tame. 1. Introducton Unless otherwise specified R will be a commutative ring with 1 and R = R[X ] = R[X1, ....
متن کاملOn Permutations Induced by Tame Automorphisms over Finite Fields
The present paper deals with permutations induced by tame automorphisms over finite fields. The first main result is a formula for determining the sign of the permutation induced by a given elementary automorphism over a finite field. The second main result is a formula for determining the sign of the permutation induced by a given affine automorphism over a finite field. We also give a combini...
متن کاملStable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring
In this paper it is established that all two-dimensional polynomial automorphisms over a regular ring R are stably tame. This results from the main theorem of this paper, which asserts that an automorphism in any dimension n is stably tame if said condition holds point-wise over SpecR. A key element in the proof is a theorem which yields the following corollary: Over an Artinian ring A all two-...
متن کاملTAME AND WILD COORDINATES OF K[z][x, y]
Let K be a field of characteristic zero. We characterize coordinates and tame coordinates in K[z][x,y], i.e. the images of x respectively under all automorphisms and under the tame automorphisms of K[z][x,y]. We also construct a new large class of wild automorphisms of K[z][x,y] which maps x to a concrete family of nice looking polynomials. We show that a subclass of this class is stably tame, ...
متن کاملStable Tameness of Two-Dimensional Polynomial Automorphisms Over a Dedekind Domain
In this paper it is established that all two-dimensional polynomial automorphisms over a Dedekind Q-algebra are stably tame; in fact, they become tame with the addition of three more dimensions. A key element in the proof is this additional new theorem: Over an Artinian Q-algebra all two-dimensional polynomial automorphisms having Jacobian determinant one are tame.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90158-8