free module

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free module

Wikipedia

Noun

free module (plural free modules)

1. (algebra) 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.)

Hypernyms

• projective module

Hyponyms

• free abelian group
• vector space