I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2013, VOLUME 18, NUMBER 4, PAGES 79-88
On tame and wild automorphisms of algebras
C. K. Gupta
V. M. Levchuk
Yu. Yu. Ushakov
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a polynomial algebra of variables over
a field .
Considering a free associative algebra of
a polynomial algebra of noncommuting variables, we choose the
all polynomials with a zero absolute term in
The well-known concept of wild automorphisms of the algebras
transferred to ; the study of wild
automorphisms is reduced to monic automorphisms of the
i.e., those identical on each factor .
In particular, this enables us to study the properties of the known
Nagata and Anik automorphisms in detail.
investigate the hypothesis that the Anik automorphism is tame
modulo for every
given integer .
Last modified: May 13, 2014