论文标题
仿射交换和pi-Algebras的自动形态和衍生
Automorphisms and derivations of affine commutative and PI-algebras
论文作者
论文摘要
我们证明了A. selberg的类似物，用于有限生成的$ \ text {aut}（a）$的有限生成的子组和$ \ text {der}（a）$的恩格尔定理的$ \ text {der}（a）$，用于有限生成的协会的交互性交换代数$ a $ a $ a $ a $ cossociative compositive timportive commutivative unsutivative unsutative undicative undicative underative underative unding und。我们还证明了W.〜Burnside的定理和I.〜Schur的类似物，内容涉及$ \ text {aut}（a）$的局部有限性。
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 $\text{Aut}(A)$.
