free module

Meaning

Noun

• A module that has a basis. Equivalently, a module consisting of n-tuple 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.)

Related

Narrower meaning words

• free abelian group
• vector space

Broader meaning words

• projective module