integral element
Noun
Meaning
integral element (plural integral elements)
(algebra, commutative algebra, ring theory) Given a commutative unital ring R with extension ring S (i.e., that is a subring of S), any element s ∈ S that is a root of some monic polynomial with coefficients in R.
Examples
The vicious circle linking poverty, police, courts and prison is an integral element of ghetto existence.
A nation must be embraced, rehabilitated and expressed as a tangible sign of human creativity and as an integral element of mankind's heritage.