In algebra, a normal homomorphism is a ring homomorphism R\to S that is flat and is such that for every field extension L of the residue field \kappa ({\mathfrak {p}}) of any prime ideal {\mathfrak {p}} , 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, 336, Cambridge, UK: Cambridge University Press, ISBN 978-0-521-68860-4, MR 2266432
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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