Towards an Effective Version of a Theorem of Stafford |
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Authors: | Andre Hillebrand Wiland Schmale |
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Affiliation: | Carl von Ossietzky Universität, FB Mathematik, D-26111 Oldenburg, Germany |
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Abstract: | A classical theorem of Stafford says: every left ideal of partial differential operators with rational or even polynomial coefficients in n variables can be generated by two elements. The highly involved proof of this theorem is reorganized and completed for rational coefficients in order to yield a procedure which guarantees the computability in finitely many steps. Consequences for an eventual normal form for matrices of such operators are discussed. |
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