division algebra
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English
Noun
division algebra (plural division algebras)
- (algebra) A linear algebra such that its non-zero vectors form a multiplicative group.
- Synonym: associative division algebra
- Hypernyms: associative algebra, linear algebra, division ring, vector space
- Hyponyms: field, quaternions, complex numbers, reals
- (algebra) An 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.)
- Hypernyms: algebra over a field, ring, vector space
- Hyponym: octonions