Examples of noncatenary rings

Raymond C. Heitmann
1979 Transactions of the American Mathematical Society  
A technique is developed for constructing a new family of noetherian integral domains. To each domain, there naturally corresponds its poset (partially ordered set) of prime ideals. The resulting family of posets has the following property: every finite poset is isomorphic to a saturated subset of some poset in the family. In the process, it is determined when certain power series may be adjoined to noetherian rings without destroying the noetherian property.
doi:10.1090/s0002-9947-1979-0517688-0 fatcat:i5svm2irfrf6hdea4az3ldobmu