ON THE CLASSIFICATION OF a-KRULL MODULES
It is proved that for any ring R and right R-module M, if M is a-Krull (i.e., for each submodule N of M, either or and a is the least ordinal number with this property), then or The main aim of this paper is to characterize modules, which are a-Krull if and only if their Krull dimension is equal to a.
Krull dimension, a-Krull modules, critical modules.
