noun
pronunciation:
[ˈintigrəl dōˈmān]
meaning:
is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.
example:
The ring of all polynomials in one variable with integer coefficients is an integral domain.
property:
In an integral domain, every nonzero element a has the cancellation property, that is, if a ≠ 0, an equality ab = ac implies b = c.
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