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Coordinates and automorphisms of polynomial and free associative algebras of rank three

โœ Scribed by Vesselin Drensky; Jie-Tai Yu


Book ID
107376003
Publisher
Higher Education Press and Springer
Year
2007
Tongue
English
Weight
364 KB
Volume
2
Category
Article
ISSN
1673-3452

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๐Ÿ“œ SIMILAR VOLUMES


Test Polynomials for Automorphisms of Po
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

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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