Differential Galois theory extends the classical study of algebraic symmetries into the realm of differential equations. This area investigates the relationship between a differential equation’s ...

A Galois theory is obtained for fields $k$ of characteristic $p \neq 0$ in which the Galois subfields $h$ are those for which $k/h$ is normal, modular, and for some ...

Transactions of the American Mathematical Society, Vol. 359, No. 2 (Feb., 2007), pp. 827-857 (31 pages) We discuss some of the basic ideas of Galois theory for commutative S-algebras originally ...

This module is lectured with the undergraduate modules MAS438 and MAS442 and considers Fields and Galois Theory. The first half of the module covers basic field theory (field extensions, ...