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Splitting of algebras by function fields of one variable
- Source :
- Nagoya Math. J. 27, Part 2 (1966), 625-642
- Publication Year :
- 1966
- Publisher :
- Duke University Press, 1966.
-
Abstract
- LetKbe a field and(K) the Brauer group ofK. It consists of the similarity classes of finite central simple algebras overK. For any field extensionF/Kthere is a natural mapping(K) →(F) which is obtained by assigning to each central simple algebraA/Kthe tensor productwhich is a central simple algebra overF. The kernel of this map is the relative Brauer group(F/K), consisting of thoseA ∈(K) which are split byF.
- Subjects :
- Pure mathematics
010308 nuclear & particles physics
General Mathematics
010102 general mathematics
Field (mathematics)
Function (mathematics)
01 natural sciences
Kernel (algebra)
Tensor product
Simple (abstract algebra)
Field extension
0103 physical sciences
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
0101 mathematics
Central simple algebra
GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
12.78
14.35
Brauer group
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00277630
- Database :
- OpenAIRE
- Journal :
- Nagoya Math. J. 27, Part 2 (1966), 625-642
- Accession number :
- edsair.doi.dedup.....263d63303d1cb5ab28400432c6fb2672