On locally nilpotent derivations of Fermat rings

• Date: 2018
• Main Authors: Brumatti, Paulo Roberto, Veloso, Marcelo Oliveira
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Locally Nilpotente Derivations; ML-invariant; Fermat ring; 14R10; 13N15; 13A50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/752
• Journal Title: Algebra and Discrete Mathematics

Let \(B_n^m =\frac{\mathbb{C}[X_1,\ldots, X_n]}{(X_1^m+\cdots +X_n^m)}\) (Fermat ring), where \(m\geq2\) and \(n\geq3\).  In a recent paper  D. Fiston and S. Maubach  show that for \(m\geq n^2-2n\)  the unique locally nilpotent derivation of \(B_n^m\) is the zero derivation. In this note we prove th...