If is a partially ordered set satisfying certain necessary conditions for to be order-isomorphic to the spectrum of a Noetherian domain of dimension two, we describe a new poset that completely determines up to isomorphism. The order relation imposed on is modeled after R. Wiegand’s well-known “P5” condition that can be used to determine when a given partially ordered set of a certain type is order-isomorphic to .
"A STRUCTURAL INVARIANT ON CERTAIN TWO-DIMENSIONAL NOETHERIAN PARTIALLY ORDERED SETS." Rocky Mountain J. Math. 53 (3) 711 - 724, June 2023. https://doi.org/10.1216/rmj.2023.53.711