Integral element

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Integral element

In commutative algebra, an element b of a commutative ring B is said to be integral over A, a subring of B, if there are n ≥ 1 and such that That is to say, b is a root of a monic polynomial over A.If every element of B is integral over A, then it is said that B is integral over A, or equivalently B is an integral extension of A.

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