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Integral Closure


The integral closure of a commutative unit ring R in an extension ring S is the set of all elements of S which are integral over R. It is a subring of S containing R.


See also

Algebraic Closure, Extension Ring, Integrally Closed

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Integral Closure." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IntegralClosure.html

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