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Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture.
- Source :
-
Journal of Algebra & Its Applications . Feb2024, p1. 9p. - 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 φ of the polynomial ring k[x1,…,xn], if φ preserves the maximal ideals, then φ is an automorphism. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175244025
- Full Text :
- https://doi.org/10.1142/s0219498825501750