Differential Galois theory and tensor products
The author gives a short and selfcontained proof of the fundamental theorems of differential Galois theory. The ideas of the paper build upon lecture notes from 1984 by M. van der Put (unpublished), where one also finds proofs of these theorems. The motivation of the paper is that selfcontained proofs are almost impossible to find in the literature. The proofs themselves are fairly elementary, some differential algebra and a good feeling for tensor products is required.
scientific article; zbMATH DE number 4208210