free module

Fetched 2026-10-26 (cache).

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Noun

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

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