Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Jacobian Conjecture and Idempotent Ideals

Version 1 : Received: 8 March 2024 / Approved: 11 March 2024 / Online: 12 March 2024 (13:46:14 CET)

How to cite: Matysiak, L. The Jacobian Conjecture and Idempotent Ideals. Preprints 2024, 2024030664. https://doi.org/10.20944/preprints202403.0664.v1 Matysiak, L. The Jacobian Conjecture and Idempotent Ideals. Preprints 2024, 2024030664. https://doi.org/10.20944/preprints202403.0664.v1

Abstract

In this paper we present two ways to solve the Jacobian conjecture. The first way is an equivalent statement to the Jacobian conjecture using idempotent ideals. The second way is to use an equivalent thesis to the thesis of the Jacobian conjecture. In both cases we will show that the Jacobian conjecture is true.

Keywords

automorphism; idempotent ideal; Jacobian conjecture; polynomial mapping

Subject

Computer Science and Mathematics, Algebra and Number Theory

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