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In mathematics, a finitely generated algebra (also called an algebra of finite type) over a (commutative) ring R {\displaystyle R} , or a finitely generated R {\displaystyle R} -algebra for short, is a commutative associative algebra A {\displaystyle A} defined by ring homomorphism f : R → A {\displaystyle f:R\to A} , such that every element of A…
Examples, Relation with affine varieties & Finite algebras vs algebras of finite type
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Finitely generated algebra | related to Examples | The | 0.60 | section |
| Finitely generated algebra | related to Examples | On | 0.60 | section |
| Finitely generated algebra | related to Examples | If | 0.60 | section |
| Finitely generated algebra | related to Examples | E/F | 0.60 | section |
| Finitely generated algebra | related to Examples | Conversely | 0.60 | section |
| Finitely generated algebra | related to Examples | This | 0.60 | section |
| Finitely generated algebra | related to Examples | Zariski's | 0.60 | section |
| Finitely generated algebra | related to Examples | See | 0.60 | section |
| Finitely generated algebra | related to Examples | KG | 0.60 | section |
| Finitely generated algebra | related to Examples | Quadratic | 0.60 | section |
| Finitely generated algebra | related to Examples | R-algebras | 0.60 | section |
| Finitely generated algebra | related to Examples | R-modules | 0.60 | section |
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