Last Updated
：2025/12/05
Brauer group
Noun
Japanese Meaning
数学において、体Kに対して、中心単純代数のモリタ同値類からなる可換群を指します。群の演算は、代数のテンソル積により定義されます。
（ plural ）
Quizzes for review
(mathematics) For a field K, an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras.
音声機能が動作しない場合はこちらをご確認ください
See correct answer
Brauer group
To determine whether two central simple algebras over a field K are Morita equivalent, mathematicians compare their classes in the Brauer group.
See correct answer
To determine whether two central simple algebras over a field K are Morita equivalent, mathematicians compare their classes in the Brauer group.
音声機能が動作しない場合はこちらをご確認ください
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
