Finitely generated module

（重定向自Finitely presented module）

In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R-module also may be called a finite R-module,finite over R, or a module of finite type.

Related concepts include finitely cogenerated modules, finitely presented modules, finitely related modules and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent modules coincide.

单词	Finitely presented module
释义	Finitely presented module 英语百科 Finitely generated module （重定向自Finitely presented module） In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R-module also may be called a finite R-module,finite over R, or a module of finite type. Related concepts include finitely cogenerated modules, finitely presented modules, finitely related modules and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent modules coincide.
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