Szczegóły publikacji
Opis bibliograficzny
Pascal finite polynomial automorphisms / Elżbieta ADAMUS, Paweł Bogdan, Teresa Crespo, Zbigniew Hajto // Journal of Algebra and its Applications ; ISSN 0219-4988. — 2019 — vol. 18 no. 7, s. 1950124-1–1950124-10. — Bibliogr. s. 1950124-10
Autorzy (4)
- AGHAdamus Elżbieta
- Bogdan Paweł
- Crespo Teresa
- Hajto Zbigniew
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 123039 |
|---|---|
| Data dodania do BaDAP | 2019-07-23 |
| DOI | 10.1142/S021949881950124X |
| Rok publikacji | 2019 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Algebra and its Applications |
Abstract
The class of Pascal finite polynomial automorphisms is a subclass of the class of locally finite ones allowing a more effective approach. In characteristic zero, a Pascal finite automorphism is the exponential map of a locally nilpotent derivation. However, Pascal finite automorphisms are defined in any characteristic, and therefore constitute a generalization of exponential automorphisms to positive characteristic. In this paper, we prove several properties of Pascal finite automorphisms. We obtain in particular that the Pascal finite property is stable under taking powers but not under composition. This leads us to formulate a generalization of the exponential generators conjecture to arbitrary characteristic. © 2019 World Scientific Publishing Company.