Automorphisms and derivations of affine commutative and PI-algebras

Autor: Bezushchak, Oksana, Petravchuk, Anatoliy, Zelmanov, Efim
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We prove analogs of A.~Selberg's result for finitely generated subgroups of $\text{Aut}(A)$ and of Engel's theorem for subalgebras of $\text{Der}(A)$ for a finitely generated associative commutative algebra $A$ over an associative commutative ring. We prove also an analog of the theorem of W.~Burnside and I.~Schur about locally finiteness of torsion subgroups of $\text{Aut}(A)$.
Databáze: arXiv