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
โฆ LIBER โฆ
Coordinates and automorphisms of polynomial and free associative algebras of rank three
โ 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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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