A Simple Proof of Nowicki's Conjecture on the Kernel of an Elementary Derivation

A Simple Proof of Nowicki's Conjecture on the Kernel of an Elementary Derivation

Shigeru KURODA

Source: Tokyo J. of Math. Volume 32, Number 1 (2009), 247-251.

Abstract

Khoury solved Nowicki's conjecture on the kernel of an elementary derivation of a polynomial ring using Gröbner basis theory. In this paper, we give a simple new proof of the conjecture.

Primary Subjects: 13N15

Secondary Subjects: 13E15, 13A50

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Permanent link to this document: http://projecteuclid.org/euclid.tjm/1249648420
Digital Object Identifier: doi:10.3836/tjm/1249648420
Zentralblatt MATH identifier: 05604246
Mathematical Reviews number (MathSciNet): MR2541159

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