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Krull Topology in Galois Theories by Irving José is a document available to read on EtoBox.

This document discusses the completeness of Galois theories. It begins by introducing the concept of a Krull Galois system, which establishes a one-to-one correspondence between closed subgroups of a group of field automorphisms and intermediate fields. The document then presents 8 propositions about Krull Galois systems and when they do or do not exist for different types of field extensions. It concludes that a Krull Galois theory does not exist for any extension field of transcendence degree 1 over its b

Author
Irving José
Language
EN