Generalizations of two theorems of Ritt on decompositions of polynomial maps

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dc.creatorBavula, V. V.
dc.date2007-11-06
dc.date2007-11-20
dc.date.accessioned2026-07-07T08:43:34Z
dc.date.available2026-07-07T08:43:34Z
dc.descriptionTwo theorems of J. F. Ritt on decompositions of polynomials maps are generalized to a more general situation: for, so-called, reduction monoids ($(K[x], \circ)$ and $(K[x^2]x, \circ)$ are examples of reduction monoids). In particular, analogues of the two theorems of J. F. Ritt hold for the monoid $(K[x^2]x, \circ)$ of odd polynomials. It is shown that, in general, the two theorems of J. F. Ritt fail for the cusp $(K+K[x]x^2, \circ)$ but their analogues are still true for decompositions of maximal length of regular elements of the cusp.
dc.description31 pages, the definition of the monoid O is corrected, reference is added
dc.identifierhttps://arxiv.org/abs/0711.0913
dc.identifierhttp://arxiv.org/abs/0711.0913
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142355
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject12F20, 14H37, 14R10
dc.titleGeneralizations of two theorems of Ritt on decompositions of polynomial maps
dc.typetext

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