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math.NT2026
Analogue of the Galois Theory for arbitrary finite field extensions
V. V. Bavula
This paper is a finishing touch to the (over 200 years) {\em classical} `Galois Theory' of {\em arbitrary} finite field extensions, i.e. the goal of it is to describe intermediate…
math.NT2026
Analogue of the Galois Theory for normal fields and B-extensions (characteristic free approach)
V. V. Bavula
The aim of the paper is to introduce B-extensions which are the most symmetrical finite field extensions (a finite field extension is called a {\it B-extension} if the endomo…
math.NT2025
The Galois Theory (a ring theoretic approach)
V. V. Bavula
The fundamental concepts in the Galois Theory are separable, normal and Galois field extensions. These concepts are central in proofs of the Galois Theory. In the paper, we introdu…