MR2761093
Seiji NISHIOKA
Seiji NISHIOKA
Decomposable Extensions of Difference Fields
Funkcialaj Ekvacioj. Serio Internacia
53
2010
489--501
http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-3/53_489.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2761093
We define the decomposable extensions of difference fields and study the irreducibility of $q$-Painlevé equation of type ${A_7^{(1)}}'$. Every strongly normal extension or Liouville-Franke extension, the latter of which is a difference analogue of the Liouvillian extension, satisfies that its appropriate algebraic closure is a decomposable extension.
Difference algebra, Decomposable extension, $q$-Painlevé equation.
12H10, 39A05, 39A13.
53-489
2010
Decomposable Extensions of Difference Fields
Seiji NISHIOKA
Seiji NISHIOKA
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