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Finite morphism
In algebraic geometry, a finite morphism between two affine varieties X , Y {\displaystyle X,Y} is a dense regular map which induces isomorphic inclusion k [ Y ] ↪ k [ X ] {\displaystyle k\left\hookrightarrow k\left} between their coordinate rings, such that k [ X ] {\displaystyle k\left} is integral over k [ Y ] {\displaystyle k\left} . This definition…
Standards, Properties of finite morphisms & Definition by schemes