Decomposable extensions of difference fields
Decomposable extensions of difference fields
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DOI：
10.1619/fesi.53.489
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Seiji Nishioka
中科院分区：
文献类型：
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作者：
Seiji Nishioka
定义了差域的可分解扩张，研究了A7（1）′型q-Painleve方程的不可约性.每一个强正规扩张或Liouville-Franke扩张，后者是Liouville扩张的差模拟，满足它的适当代数闭包是可分解扩张。
We define the decomposable extensions of difference fields and study the irreducibility of q-Painleve equation of type A7(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.