Stafford's cyclicity conjecture for torsion Weyl-algebra modules

Let AnA_n be the nnth Weyl algebra, and let a finitely generated AnA_n-module be torsion when it has rank zero. A module is cyclic if it is generated by one element. Stafford's conjecture. Every finitely generated torsion AnA_n-module is cyclic. This strengthens the preceding result that every finitely generated torsion module can be generated by two elements; its status is stated as open.

Sources & referencesView supporting material

Primary source

Gwyn Bellamy, “Module structure of Weyl algebras”, arXiv:2510.19344 (2025).

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