Abstract
We show that a 𝒫* submodule of an unstable Noetherian R-module over a Noetherian ring R has a 𝒫*-invariant primary decomposition.
Acknowledgments
Notes
aIrredundent means that
N
i
⊈ N
t
and that the ideals
are pairwise distinct.
bThe rings we work with always have a unit which is denoted invariably by 1.