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Polynomial Models of Degree 5 and Algebras of Their Automorphisms

โœ Scribed by E. N. Shananina


Book ID
111598203
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
189 KB
Volume
75
Category
Article
ISSN
0001-4346

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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

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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