Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
A linear algebra such that its non-zero vectors form a multiplicative group.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: associative division algebra
Antonyms: none provided
Broader terms: associative algebra, linear algebra, division ring, vector space
Narrower terms: field, quaternions, complex numbers, reals
noun
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.)
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
Broader terms: algebra over a field, ring, vector space
Narrower terms: octonions
History
No etymology was provided for this word.
