Characterization of Lie n-isomorphisms of certain algebras

被引：0

作者：

Zhao, Xingpeng ^{[1
]}

Gao, Meilian ^{[1
]}

Yang, Jing ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Lie n(-& lowast; )-isomorphism; 2-local Lie n(-& lowast; nest algebra; von Neumann algebra; COMMUTATIVITY-PRESERVING MAPPINGS; COMMUTING TRACES; AUTOMORPHISMS; HOMOMORPHISMS;

D O I：

10.1142/S0219498826500647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Lie n-isomorphisms on nest algebras and von Neumann algebras are constructed, which can be viewed as a common generalization of Lie isomorphisms and Lie triple isomorphisms. Besides, several 2-local Lie n-isomorphisms and 2-local Lie n-& lowast;-isomorphisms on certain von Neumann algebras are studied.

引用

页数：12

共 24 条

[1] Multiplicative *-Lie isomorphisms between factors
Bai, Zhaofang
Du, Shuanping
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (01) : 327 - 335
[2] Multiplicative *-Lie isomorphisms between von Neumann algebras
Bai, Zhaofang
Du, Shuanping
[J]. LINEAR & MULTILINEAR ALGEBRA, 2012, 60 (03) : 311 - 322
[3] Commutativity preserving mappings on semiprime rings
Banning, R
Mathieu, M
[J]. COMMUNICATIONS IN ALGEBRA, 1997, 25 (01) : 247 - 265
[4] Commuting traces and commutativity preserving maps on triangular algebras
Benkovic, D
Eremita, D
[J]. JOURNAL OF ALGEBRA, 2004, 280 (02) : 797 - 824
[5] COMMUTING TRACES OF BIADDITIVE MAPPINGS, COMMUTATIVITY-PRESERVING MAPPINGS AND LIE MAPPINGS
BRESAR, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 335 (02) : 525 - 546
[6] COMMUTATIVITY PRESERVING MAPPINGS OF VON-NEUMANN-ALGEBRAS
BRESAR, M
MIERS, CR
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1993, 45 (04): : 695 - 708
[7] Lie ideals: from pure algebra to C*-algebras
Bresar, Matej
Kissin, Edward
Shulman, Victor S.
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 623 : 73 - 121
[8] Burgos M, 2015, RACSAM REV R ACAD A, V109, P551, DOI 10.1007/s13398-014-0200-8
[9] Davidson K.R., 1988, Pitman Research Notes in Mathematics Series, V191, pHarlow
[10] The characterization of 2-local Lie automorphisms of some operator algebras
Fang, Xiaochun
Zhao, Xingpeng
Yang, Bing
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021, 52 (04) : 961 - 970

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