Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595921 | Journal of Pure and Applied Algebra | 2015 | 7 Pages |
Abstract
In this paper we strengthen Kolchin's theorem [1] in the ordinary case. It states that if a differential field E is finitely generated over a differential subfield F⊂EF⊂E, trdegFE<∞, and F contains a nonconstant, i.e., an element f such that f′≠0f′≠0, then there exists a∈Ea∈E such that E is generated by a and F. We replace the last condition with the existence of a nonconstant element in E.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gleb A. Pogudin,