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Dn(A) for a Class of Polynomial Automorphisms and Stably Tameness

โœ Scribed by Arno van den Essen; Engelbert Hubbers

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
238 KB
Volume
192
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

In this paper we introduce a set, denoted by D D A , for every commutative ring n A and every positive integer n. It is shown that the elements of this set can be used ลฝ . to give an explicit description of the class H H A introduced in van den Essen and n w ลฝ .

x Hubbers J. Algebra 187 1997 , 214แŽ226 . We deduce that each polynomial map of ลฝ . the form F s X q H with H g H H A can be written as a finite product of n ลฝ . automorphisms of the form exp D , where each D is a locally nilpotent derivation 2 ลฝ . satisfying D X s0 for all i. Furthermore we deduce that all such Fs are stably i tame.

๐Ÿ“œ SIMILAR VOLUMES

Polynomial Bounds for the Solutions of a
Polynomial Bounds for the Solutions of a Class of Diophantine Equations
โœ Dimitrios Poulakis ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

Let K be an algebraic number field such that all the embeddings of K into C are real. We denote by O K the ring of algebraic integers of K. Let F(X, Y) be an irreducible polynomial in K[X, Y ]&K[Y ] of total degree N and of degree n>0 in Y. We denote by F N (X, Y ) its leading homogeneous part. Supp