Abstract
A characterization is given of integral domains $R$ such that $R$ is a finitely generated $S$-module for each subring $S$ of $R$ which has the same quotient field as $R$. Apart from the absolutely algebraic fields of positive characteristic, such $R$ are subrings of the rings of integers of certain global fields.
Citation
David E. Dobbs. "Integral domains finite over each underring." Tsukuba J. Math. 15 (2) 409 - 412, December 1991. https://doi.org/10.21099/tkbjm/1496161666
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