What question did this study set out to answer?

The aim is to present a new categorical framework for Galois descent and prove a corresponding theorem.

May 25, 2026Open Access

Galois descent theorem in general categories

Key Points

The aim is to present a new categorical framework for Galois descent and prove a corresponding theorem.
Developed a categorical framework for Galois descent.
Established theoretical foundations based on prior mathematical works by Galois and others.
Introduced a comprehensive framework for understanding Galois descent.
Demonstrated the applicability of the theorem in algebraic geometry and category theory.

Abstract

Abstract The theory of descent, originating from the work of Évariste Galois and further developed by mathematicians such as Weil, Grothendieck, and Janelidze, has become a fundamental tool in algebraic geometry and category theory. This paper presents a new categorical framework for Galois descent and establishes a Galois descent theorem.

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