Extensions of Difference Specializations

Barbara Lando
1980 Proceedings of the American Mathematical Society  
Maximal difference specializations and difference places are defined. Let R be the domain of a difference specialization <p of a difference field K and x e K. Then $ can be extended to a specialization x -» 0 if and only if 1 € [*]. This result applies to give a condition on a polynomial for the extension of a specialization to its generic zero. In a slightly different direction, a necessary and sufficient condition for the extension of a specialization to a larger difference field is given.
doi:10.2307/2043233 fatcat:yknqpqnusvco5gb2ptuahc556y