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arxiv: math/0204303 · v2 · submitted 2002-04-24 · 🧮 math.RA · math.AG

Algorithmic proofs of two theorems of Stafford

classification 🧮 math.RA math.AG
keywords staffordalgorithmiceverygeneratedproofsalgebraclassicalcomputation
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Two classical results of Stafford say that every (left) ideal of the $n$-th Weyl algebra $A_n$ can be generated by two elements, and every holonomic $A_n$-module is cyclic, i.e. generated by one element. We modify Stafford's original proofs to make the algorithmic computation of these generators possible.

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