Actions of the additive group Gaon certain noncommutative deformations of the plane
Kaygorodov I. Lopes S.A. Mashurov F.
1 June 2021Sciendo
Communications in Mathematics
2021#29Issue 2269 - 279 pp.
We connect the theorems of Rentschler [18] and Dixmier [10] on locally nilpotent derivations and automorphisms of the polynomial ring A0 and of the Weyl algebra A1, both over a field of characteristic zero, by establishing the same type of results for the family of algebras {equation presented} where h is an arbitrary polynomial in x. In the second part of the paper we consider a field F of prime characteristic and study F[t]-comodule algebra structures on Ah. We also compute the Makar-Limanov invariant of absolute constants of Ah over a field of arbitrary characteristic and show how this subalgebra determines the automorphism group of Ah.
Derivations , iterative higher derivations , rings of differential operators , Weyl algebra
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Cmcc, Universidade Federal Do Abc, Santo André, Brazil
Cmup, Departamento de Matemática, Faculdade de Ciências, Universidade Do Porto, Rua do Campo Alegre s/n, Porto, 4169-007, Portugal
Suleyman Demirel University, Kaskelen, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
Cmcc
Cmup
Suleyman Demirel University
Kazakh-British Technical University
10 лет помогаем публиковать статьи Международный издатель
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