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Jordan Higher Derivable Maps on Triangular Algebras by Commutative Zero Products 被引量：7

Jordan Higher Derivable Maps on Triangular Algebras by Commutative Zero Products
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摘要 In this paper, the structure of Jordan higher derivable maps on triangular algebras by commutative zero products is given. As an application, the form of Jordan higher derivable maps of nest algebras by commutative zero products is obtained. In this paper, the structure of Jordan higher derivable maps on triangular algebras by commutative zero products is given. As an application, the form of Jordan higher derivable maps of nest algebras by commutative zero products is obtained.
作者 Dan LIU Jian Hua ZHANG
机构地区 College of Mathematics and Information Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第2期258-264,共7页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11471199 and 11371233) Research Fund for the Doctoral Program of Higher Education of China(Grant No.20110202110002) the Innovation Funds of Graduate Programs of Shaanxi Normal University(Grant No.2015CXB007)
关键词 Triangular algebra Jordan higher derivable map commutative zero product Triangular algebra, Jordan higher derivable map, commutative zero product
分类号 O177 [理学—基础数学]
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参考文献16

  • 1Benkovi, D., Eremita, D.: Commuting traces and commutativity preserving maps on triangular algebras. J. Algebra, 280, 797-824 (2004).
  • 2Chebotar, M. A., Ke, W. F., Lee, P. H., et al.: Mappings preserving zero products. Studia Math., 155, 77-94 (2003).
  • 3Cheung, W. S.: Commuting maps of triangular algebras. J. London Math. Soc., 63, 117-127 (2001).
  • 4Cheung, W. S.: Lie derivations of triangular algebras. Linear and Multilinear Algebra, 51,299-310 (2003).
  • 5Hou, J. C., Jiao, M. Y.: Additive maps preserving Jordan zero-products on nest algebras. Linear Algebra Appl., 429, 190-208 (2008).
  • 6Ji, P. S., Qi, W. Q.: Characterizations of Lie derivations of triangular algebras. Linear Algebra Appl., 435, 1137-1146 (2011).
  • 7Jiao, M. Y., Hou, J. C.: Additive maps derivable or Jordan derivable at zero point on nest algebras. Linear Algebra Appl., 432, 2984-2994 (2010).
  • 8Liu, D., Zhang, J. H.: Jordan derivable maps on triangular algebras by commutative zero products. Acta Math. Sin., Chin. Ser., 5'7, 1203-1208 (2014).
  • 9Lu, F. Y.: Characterizations of derivations and Jordan derivations on Banach algebras. Linear Algebra Appl., 430, 2233-2239 (2009).
  • 10Lu, F. Y., Jing, W.: Characterizations of Lie derivations of B(X). Linear Algebra Appl., 432, 89-99 (2010).

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Acta Mathematica Sinica,English Series
2016年 第2期

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