Abstract
Let [Formula: see text] be an extension of integral domains with only finitely many intermediate rings, where [Formula: see text] is not a field and [Formula: see text] is not necessarily the quotient field of [Formula: see text] or [Formula: see text] is not necessarily integrally closed in [Formula: see text]. In this paper, we exactly determine the number of intermediate rings between [Formula: see text] and [Formula: see text] and give a way to compute it.
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