Name
Abstract | ||
|---|---|---|
The order-reversing bijection between field extensions and subgroups of the Galois group G follows from the equivalence between the opposite of the category of étale algebras and the category of discrete G-spaces [2]. We show that the basic ingredient for this equivalence of categories, and for various known generalizations, is a factorization system for variable categories. |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1007/BF00872989 | Applied Categorical Structures |
Keywords | Field | DocType |
18D30,11R32,18D35,18D05,Variable category,Galois group,topos,indexed category,parametrized category,homomorphism of bicategories,effective descent,internal category | Embedding problem,Topology,Discrete mathematics,Equivalence of categories,Galois cohomology,Galois extension,Galois group,Galois module,Fundamental theorem of Galois theory,Mathematics,Differential Galois theory | Journal |
Volume | Issue | Citations |
1 | 1 | 2 |
PageRank | References | Authors |
5.89 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| George Janelidze | 1 | 40 | 33.99 |
| Dietmar Schumacher | 2 | 2 | 5.89 |
| Ross Street | 3 | 15 | 9.44 |