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A pure subalgebra of a finitely generated algebra is finitely generated |
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| Authors: | Mitsuyasu Hashimoto |
| Affiliation: | Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464--8602, Japan |
| Abstract: | We prove the following. Let  be a Noetherian commutative ring,  a finitely generated  -algebra, and  a pure  -subalgebra of  . Then  is finitely generated over  . |
| Keywords: | Pure subalgebra finite generation flattening |
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