In mathematics, finitely generated may refer to:
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Finitely generated object
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Finitely generated group
In algebra, a finitely generated group is a group ''G'' that has some finite generating set ''S'' so that every element of ''G'' can be written as the combination (under the group operation) of finitely many elements of ''S'' and of inverses o ...
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Finitely generated monoid
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Finitely generated abelian group
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Finitely generated module
In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated module over a ring ''R'' may also be called a finite ''R''-module, finite over ''R'', or a module of finite type.
Related concepts i ...
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Finitely generated ideal
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Finitely generated algebra
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Finitely generated space
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