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Dictionary

Words, grammatical forms and meanings linked to the ontology.

free module en · NOUN

Meanings

  1. A module that has a basis. Equivalently, a module consisting of n-tuples of ring elements with no extra identities. (Then the number n is said to be its rank.) Equivalently, a direct sum whose summands are all the same ring. (The quantity of summands may be more than two.)

Forms

SpellingFeaturesLabelsSource
free modules Number=Plur lexicographic

Hypernyms

projective module

Hyponyms

vector space · free abelian group