التفاصيل البيبلوغرافية
| العنوان: |
Automorphisms and derivations of affine commutative and PI-algebras. |
| المؤلفون: |
Bezushchak, Oksana1 (AUTHOR), Petravchuk, Anatoliy1 (AUTHOR), Zelmanov, Efim2 (AUTHOR) |
| المصدر: |
Transactions of the American Mathematical Society. Feb2024, Vol. 377 Issue 2, p1335-1356. 22p. |
| مصطلحات موضوعية: |
*COMMUTATIVE algebra, *ASSOCIATIVE algebras, *LIE algebras, *COMMUTATIVE rings, *AFFINE algebraic groups, *TORSION, *AUTOMORPHISMS, *ASSOCIATIVE rings |
| مستخلص: |
We prove analogs of A. Selberg's result for finitely generated subgroups of \operatorname {Aut}(A) and of Engel's theorem for subalgebras of \operatorname {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 local finiteness of torsion subgroups of \operatorname {Aut}(A). [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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