Meanings
noundivision algebra (plural division algebras)
plural division algebras
- algebraA linear algebra such that its non-zero vectors form a multiplicative group.
Synonyms: associative division algebra
- algebraAn algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)
Synonyms & antonyms
nounA linear algebra such that its non-zero vectors form a multiplicative group.
Similar
associative division algebra
Cite this entry
APA
division algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/division%20algebra
MLA
“division algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/division%20algebra. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “division algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/division%20algebra.
Source: division algebra on Wiktionary, CC BY-SA 4.0.