The structure of Galois algebras (Q5936947)
From MaRDI portal
scientific article; zbMATH DE number 1616207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of Galois algebras |
scientific article; zbMATH DE number 1616207 |
Statements
The structure of Galois algebras (English)
0 references
19 December 2002
0 references
The authors show that if \(B\) is a Galois algebra with Galois group \(G\), then \(B\) is either a direct sum of central Galois algebras or a direct sum of central Galois algebras and a commutative Galois algebra. If \(G\) is inner, then \(B\) is either a direct sum of Azumaya projective group algebras or a direct sum of Azumaya projective group algebras and a commutative Galois algebra.
0 references
Galois algebras
0 references
Azumaya projective group algebras
0 references
Galois groups
0 references
direct sums
0 references
