A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
In  Eisenbud and Evans gave an important generalization of Krull's Principal Ideal Theorem. However, their proof, using maximal Cohen-Macaulay modules, may have limited the validity of their theorem to a proper subclass of all local rings. (Höchster proved the existence of maximal Cohen-Macaulay modules for local rings which contain a field, cf. ). In the first section we present a proof which is simpler and guarantees the Generalized Principal Ideal Theorem for all local rings. The maindoi:10.2307/2043882 fatcat:62doywdlcfg5pk5hujwamepx4m