Integrally closed subrings of an integral domain

Gilmer, Robert; Mott, Joe

doi:10.1090/S0002-9947-1971-0271082-1

Integrally closed subrings of an integral domain
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by Robert Gilmer and Joe Mott

Trans. Amer. Math. Soc. 154 (1971), 239-250

DOI: https://doi.org/10.1090/S0002-9947-1971-0271082-1

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Abstract:

Let D be an integral domain with identity having quotient field K. This paper gives necessary and sufficient conditions on D in order that each integrally closed subring of D should belong to some subclass of the class of integrally closed domains; some of the subclasses considered are the completely integrally closed domains, Prüfer domains, and Dedekind domains.

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