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Dictionary

Words, grammatical forms and meanings linked to the ontology.

division algebra en · NOUN

Meanings

  1. A linear algebra such that its non-zero vectors form a multiplicative group.
  2. 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.)

Forms

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division algebras Number=Plur lexicographic

Hypernyms

ring · algebra over a field · vector space · linear algebra · division ring · vector space · associative algebra

Hyponyms

octonions · field · quaternions · complex numbers · reals

Synonyms

associative division algebra