南方科技大学知识苑(SUSTech KC): AUTOMORPHISMS AND DERIVATIONS OF AFFINE COMMUTATIVE AND PI-ALGEBRAS

题名	AUTOMORPHISMS AND DERIVATIONS OF AFFINE COMMUTATIVE AND PI-ALGEBRAS
作者	Bezushchak, Oksana 1; Petravchuk, Anatoliy 1; Zelmanov, Efim2
通讯作者	Bezushchak, Oksana
发表日期	2023-11-01
DOI	10.1090/tran/9071
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 影响因子和分区
ISSN	0002-9947
EISSN	1088-6850
卷号	377 期号:2页码:1335-1356
摘要	We prove analogs of A. Selberg's result for finitely generated subgroups of Aut(A) and of Engel's theorem for subalgebras of 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 Aut(A).
关键词	PI-algebra Lie algebra automorphism derivation affine commutative algebra
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001101048800001
出版者	AMER MATHEMATICAL SOC
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85183482560
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/629101
专题	南方科技大学深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Taras Shevchenko Natl Univ Kyiv, Fac Mech & Math, 60 Volodymyrska St, UA-01033 Kiev, Ukraine 2.Southern Univ Sci & Technol, SICM, 1088 Xueyuan Ave, Shenzhen 518055, Peoples R China
推荐引用方式 GB/T 7714	Bezushchak, Oksana,Petravchuk, Anatoliy,Zelmanov, Efim. AUTOMORPHISMS AND DERIVATIONS OF AFFINE COMMUTATIVE AND PI-ALGEBRAS[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2023,377(2):1335-1356.
APA	Bezushchak, Oksana,Petravchuk, Anatoliy,&Zelmanov, Efim.(2023).AUTOMORPHISMS AND DERIVATIONS OF AFFINE COMMUTATIVE AND PI-ALGEBRAS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,377(2),1335-1356.
MLA	Bezushchak, Oksana,et al."AUTOMORPHISMS AND DERIVATIONS OF AFFINE COMMUTATIVE AND PI-ALGEBRAS".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 377.2(2023):1335-1356.