Abstract
We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.
Original language | English |
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Pages (from-to) | 111-118 |
Number of pages | 8 |
Journal | Journal of Pure and Applied Algebra |
Volume | 98 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1995 Jan 27 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory