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Nonlinear(m,n)-Lie Centralizers on Triangular Algebras(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年01期
Page:
23-
Research Field:
·数学·
Publishing date:

Info

Title:
Nonlinear(m,n)-Lie Centralizers on Triangular Algebras
Author(s):
Fei Xiuhai1; Dai Lei2; Zhang Haifang1
(1.Department of Mathematics,Dianxi Science and Technology Normal University,Lincang 677099,China)(2.College of Mathematics and Information Science,Weinan Normal University,Weinan 714099,China)
Keywords:
triangular algebra; centralizer; Lie centralizer; nonlinear(m; n)-Lie centralizer
PACS:
O177.1
DOI:
10.3969/j.issn.1001-4616.2019.01.005
Abstract:
Let m,n be fixed integers with(m+n)(m-n)≠0,U be a |(m+n)(m-n)|-torsion free triangular algebra with πA(Z(U))=Z(A)and πB(Z(U))=Z(B). If L is a nonlinear(m,n)-Lie centralizer from Uinto itself,then there exist a center element λ and a mapping ξ from Uinto Z(U)vanishing on all commutators such that L(x)=λx+ξ(x)for all x∈U.

References:

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Last Update: 2019-03-30