Noetherian domains with many more elements than height-one primes
Noetherian domains with many more elements than height-one primes
Extending previous results of L. Claborn and H.W. Lenstra, Jr., we show that if <italic>D</italic> is a Krull domain with a set of height-one primes <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X Superscript left-parenthesis 1 right-parenthesis"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>X</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> …