Integral Element
Given a commutative unit ring R and an extension ring S, an element s of S is called integral over R if it is one of the roots of a monic polynomial with coefficients in R.
See also
Algebraic Element, Integral Extension, Transcendental ElementThis entry contributed by Margherita Barile
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Barile, Margherita. "Integral Element." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IntegralElement.html