Meanings
nounAzumaya algebra (plural Azumaya algebras)
plural Azumaya algebras
- mathematicsA generalization of central simple algebras to R-algebras where R need not be a field.
Origin
Introduced in a 1951 paper by Goro Azumaya, for the case where R is a commutative local ring.
Full word history & related roots →Cite this entry
APA
Azumaya algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Azumaya%20algebra
MLA
“Azumaya algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Azumaya%20algebra. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Azumaya algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Azumaya%20algebra.
Source: Azumaya algebra on Wiktionary, CC BY-SA 4.0.