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Brauer group

Brauer group noun: 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.

Noun

Brauer group (plural Brauer groups)

  1. 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.

Forms of Brauer group

pluralBrauer groups

Origin of Brauer group

Defined by the algebraist Richard Brauer.

Questions about Brauer group

What does Brauer group mean?
Brauer group means 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.
What part of speech is Brauer group?
Brauer group is a noun.
What is the plural of Brauer group?
The plural of Brauer group is Brauer groups.

Words near Brauer group in the dictionary

  1. Braude
  2. Braudel
  3. Braudes
  4. Brauds
  5. Brauer
  6. Brauer group
  7. Brauer groups
  8. Braughing
  9. braulid
  10. braulids
  11. Brault

Source and license

Adapted from Wiktionary: Brauer group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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