The integral closure of a commutative unit ring 
in an extension ring 
is the set of all elements of 
which are integral over 
. It is a subring of 
containing 
.
Integral Closure
See also
Algebraic Closure, Extension Ring, Integrally ClosedThis entry contributed by Margherita Barile
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Cite this as:
Weisstein, Eric W., with contributions by Margherita Barile. "Integral Closure." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IntegralClosure.html