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In algebra, a normal homomorphism is a ring homomorphism ${\displaystyle R\to S}$ that is flat and is such that for every field extension L of the residue field ${\displaystyle \kappa ({\mathfrak {p}})}$ of any prime ideal ${\displaystyle {\mathfrak {p}}}$, ${\displaystyle L\otimes _{R}S}$ is a normal ring.

References

• Huneke, Craig; Swanson, Irena (2006), "Ch. 19", Integral closure of ideals, rings, and modules, London Mathematical Society Lecture Note Series, vol. 336, Cambridge, UK: Cambridge University Press, ISBN  978-0-521-68860-4, MR  2266432

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