Given a commutative unit ring and an extension ring
, an element
of
is called integral over
if it is one of the roots of a monic polynomial with coefficients
in
.
Integral Element
See also
Algebraic Element, Integral Extension, Transcendental ElementThis 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