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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 Element

This entry contributed by Margherita Barile

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Cite this as:

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

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