Name
Abstract | ||
|---|---|---|
If (e, M)is a factorization system on a category C, we define new classes of maps as follows: a map f:A?B is in e' if each of its pullbacks lies in e(that is, if it is stably in e), and is in M* if some pullback of it along an effective descent map lies in M(that is, if it is locally in M). We find necessary and sufficient conditions for (e', M*) to be another factorization system, and show that a number of interesting factorization systems arise in this way. We further make the connexion with Galois theory, where M*is the class of coverings; and include self-contained modern accounts of factorization systems, descent theory, and Galois theory. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1023/A:1008620404444 | Applied Categorical Structures |
Keywords | Field | DocType |
category,factorization system,localization,stabilization,descent theory,Galois theory,monotone-light factorization,hereditary torsion theory,separable and purely-inseparable field extensions | Discrete mathematics,Topology,Congruence of squares,Algebra,Factorization system,Factorization,Dixon's factorization method,Galois theory,Pullback,Factorization of polynomials,Mathematics | Journal |
Volume | Issue | ISSN |
5 | 1 | 1572-9095 |
Citations | PageRank | References |
10 | 3.01 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aurelio Carboni | 1 | 101 | 20.91 |
| George Janelidze | 2 | 40 | 33.99 |
| G. M. Kelly | 3 | 36 | 9.15 |
| R. Pare | 4 | 10 | 3.01 |