LCM-STABLE MODULES OF LEVEL n
Let Rbe a Noetherian domain and let denote that Ais a ring extension of R. We define an LCM-stable R-module Aof level n, that is, for any We show some results of the properties of LCM-stableness of level n. In particular, if Ais an LCM-stable R-module of level nand is an R‑regular sequence, then is an A-regular sequence.
Noetherian domain, LCM-stable module of level n, regular sequence.