A commutative ring contained in a commutative ring is said to be
integrally closed in if is equal to the integral closure of in .
An integral domain is said to be
integrally closed if it is equal to its integral closure in its field of fractions.
An ordered group G is called
integrally closed if for all elements a and b of G, if an ≤ b for all natural numbers n then a ≤ 1.
Topics referred to by the same term
This
disambiguation page lists mathematics articles associated with the same title. If an
internal link led you here, you may wish to change the link to point directly to the intended article.
A commutative ring contained in a commutative ring is said to be
integrally closed in if is equal to the integral closure of in .
An integral domain is said to be
integrally closed if it is equal to its integral closure in its field of fractions.
An ordered group G is called
integrally closed if for all elements a and b of G, if an ≤ b for all natural numbers n then a ≤ 1.
Topics referred to by the same term
This
disambiguation page lists mathematics articles associated with the same title. If an
internal link led you here, you may wish to change the link to point directly to the intended article.