# Answer to Question #24418 in Algebra for siavosh

Question #24418

If U is a multiplicatively closed subset of R contained by T and M is an integrally closed

R-module , then U^(-1)M is integrally closed over both R and U^(-1) R .

R-module , then U^(-1)M is integrally closed over both R and U^(-1) R .

Expert's answer

Statement is true as propertybeing integrally closed means to be equal to integral closure, and as S is in the R, and M - is integrally closed and then localization preservers

it, and more over U^(-1) R.

it, and more over U^(-1) R.

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