Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields

Sufficient conditions under which the semigroup generated by twoautomorphism of the polynomial ring in two variables over a number field P will be free are given. The set of free finitely generated subsemigroups of the triangle automorphism subgroup in $AutP[x,y]$ and the set of non-free finitely...

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Bibliographic Details
Main Authors: Zh. I. Dovghey, M. I. Sumaryuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2011-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/95/84