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The Weyl Algebra and Noetherian Operators

Volume 16, Number 1 (2013), 56 - 69

The Weyl Algebra and Noetherian Operators

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Abstract

We give an explicit and purely algebraic proof for the existence of noetherian differential operators for primary ideals of polynomial algebras. The proof of this important result in [1] uses complicated algebraic and analytic techniques. Later U.Oberst gave an elementary and constructive proof in [6]. In this paper we propose a different proof from the one in [6].