Exponential maps of a polynomial ring in two variables

Autor(es)

Crachiola, Anthony J. ^[1] ; Makar-Limanov, Leonid G. ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Saginaw Valley State Univ, Dept Math Sci, 7400 Bay Rd, University Ctr, MI 48710 - USA

^[2] Wayne State Univ, Dept Math, Detroit, MI 48202 - USA

^[3] Weizmann Inst Sci, Fac Math & Comp Sci, IL-7610001 Rehovot - Israel

• Tipo de documento: Artigo Científico
• Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 73-82, JUN 2019.
• Citações Web of Science: 0

Resumo

Let k be a field. We show that the ring of invariants of every exponential map on k{[}x,y] is generated by the image of x or y under a composition of triangular automorphisms. From this we obtain two well-known theorems on k{[}x,y] with no restriction on the characteristic of k: the Rentschler-Miyanishi theorem and the Jung-van der Kulk theorem. (AU)

• Processo FAPESP: 15/25280-1 - Mansidão estável de automorfismos de álgebras afins
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional