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