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.

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Meanings

nounBrauer group (plural Brauer groups)

plural Brauer groups

  1. mathematicsFor 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.

Origin

Defined by the algebraist Richard Brauer.

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Cite this entry
APA

Brauer group. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Brauer%20group

MLA

“Brauer group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Brauer%20group. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Brauer group,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Brauer%20group.

Source: Brauer group on Wiktionary, CC BY-SA 4.0.