论文标题
围绕差异不存在的备注
Remarks around the non-existence of difference-closure
论文作者
论文摘要
本文表明,通常,差异字段没有差异封闭。但是,我们引入了更强的闭合概念(kappa闭合),并表明每个代数封闭的特征性0的代数封闭差异k,固定场满足某种自然状态,具有封闭,并且这种封闭是独特的,而尤其是相对于K的同构。
This paper shows that in general, difference fields do not have a difference closure. However, we introduce a stronger notion of closure (kappa-closure), and show that every algebraically closed difference field K of characteristic 0, with fixed field satisfying a certain natural condition, has a closure, and this closure is unique up to isomorphism over K.