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GeezerVison is showing mathworld.wolfram.com — Integral Closure -- from Wolfram MathWorld

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Integral Closure

The integral closure of a commutative unit ring R in a commutative 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, Algebraic Normalization, Extension Ring, Integrally Closed

This 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

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