The Lasker-Noether Theorem for Unstable Modules over the Steenrod Algebra

Abstract

We show that a 𝒫* submodule of an unstable Noetherian R-module over a Noetherian ring R has a 𝒫*-invariant primary decomposition.

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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.