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== Types of modules ==
{{see also|Glossary of module theory}}
; Finitely generated: An ''R''-module ''M'' is [[finitely generated module|finitely generated]] if there exist finitely many elements ''x''<sub>1</sub>, ..., ''x''<sub>''n''</sub> in ''M'' such that every element of ''M'' is a [[linear combination]] of those elements with coefficients from the ring ''R''.
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