๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Minimal polynomials of algebraic derivations and automorphisms

โœ Scribed by Chen-Lian Chuang; Tsiu-Kwen Lee; Chi-Tsuen Yeh

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
171 KB
Volume
423
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

New Automorphisms of Generic Matrix Alge
New Automorphisms of Generic Matrix Algebras and Polynomial Algebras
โœ Vesselin Drensky; C.K. Gupta ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

Let T be the generic trace algebra generated by the algebra R of two generic 2 = 2 matrices and by all traces of the matrices from R over a field K. We construct new automorphisms of T and R. They induce automorphisms of the polynomial algebra in five variables which fix two of the variables. Our au

Test Polynomials for Automorphisms of Po
Test Polynomials for Automorphisms of Polynomial and Free Associative Algebras
โœ Vesselin Drensky; Jie-Tai Yu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 229 KB

In this paper we consider test polynomials in the polynomial algebra and the free associative algebra. A test polynomial is defined by the following property: every endomorphism which fixes the polynomial is an automorphism. We construct families of test polynomials for the polynomial algebra and th

New Stably Tame Automorphisms of Polynom
New Stably Tame Automorphisms of Polynomial Algebras
โœ Vesselin Drensky; Arno van den Essen; Dimitre Stefanov ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 93 KB

Let K X Y = K x 1 x n y 1 y m be the polynomial algebra in m + n variables over a field K of characteristic 0. Let ฮด be a locally nilpotent derivation of K X Y such that ฮด y i = 0, i = 1 m, and let ฮด act as a K Y -affine transformation over the free K Y -module freely generated by x 1 x n . We pro