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Generating properties of biparabolic invertible polynomial maps in three variables.
Authors: Yu. Bodnarchuk
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Abstract
Invertible polynomial map of the standard 1-parabolic form xi -> fi(x1, ...,xn-1), i < n, x n -> alpha*xn + hn(x1, ...,xn-1) is a natural generalization of a triangular map. To generalize the previous results about triangular and bitriangular maps, it is shown that the group of tame polynomial transformations TGA3 is generated by an affine group AGL3 and any nonlinear biparabolic map of the form U0*q1*U1*q2*U2, where Ui are linear maps and both qi have the standard 1-parabolic form.University "Kiev Mohyla Academy"
str.Scovoroda 2,
Kyiv 40070, Ukraine
E-mail:
str.Scovoroda 2,
Kyiv 40070, Ukraine
E-mail:
Fulltext
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Contents
- On overnilpotent radicals of topological rings.
- Semitopological isomorphism of topological groups.
- Special radicals of graded rings.
- Generating properties of biparabolic invertible polynomial maps in three variables.
- Rings over which some preradicals are torsions.
- Transfer properties in radical theory.
- Exponent matrices and their quivers.
- Radicals of rings with involution.
- Radicals around Kothe's problem.
- Wedderburn decomposition of LCM-rings.
- Totally bounded rings and their groups of units.
- The radical theory of convolution rings.
- Artinal special Lie superalgebras.
- The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).
