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Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture
- Publication Year :
- 2024
-
Abstract
- In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism $\varphi$ of the polynomial ring $\mathbf{k}[x_1,\ldots,x_n]$, if $\varphi$ preserves the maximal ideals, then $\varphi$ is an automorphism.<br />Comment: 8 pages, to appcar in JAA
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.11072
- Document Type :
- Working Paper