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三角代数上的交换零点Jordan可导映射 被引量：5

Jordan Derivable Maps on Triangular Algebras by Commutative Zero Products
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摘要 给出了三角代数上交换零点Jordan可导映射的结构.作为应用,得到了套代数上交换零点Jordan可导映射的具体形式. The structure of Jordan derivable maps on triangular algebras by commutative zero products is given.As an application,the form of Jordan derivable maps on nest algebras by commutative zero products is obtained.
作者 刘丹 张建华
机构地区 陕西师范大学数学与信息科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2014年第6期1203-1208,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金(11371233) 教育部高等学校博士学科点专项科研基金(20110202110002)
关键词 三角代数 Jordan可导映射 交换零积 triangular algebra Jordan derivable map commutative zero product
分类号 O153.3 [理学—基础数学] O177.6 [理学—基础数学]
  • 相关文献

参考文献11

  • 1安润玲,侯晋川.含幂等元的环上的Jordan导子的刻画—在零点Jordan可导的可加映射[J].数学年刊（A辑）,2010,31(4):463-474. 被引量：4
  • 2Jinping Zhao,Jun Zhu.Jordan higher all-derivable points in triangular algebras[J].Linear Algebra and Its Applications.2011(9)
  • 3Peisheng Ji,Weiqing Qi.Characterizations of Lie derivations of triangular algebras[J].Linear Algebra and Its Applications.2011(5)
  • 4Xiaofei Qi,Jianlian Cui,Jinchuan Hou.Characterizing additive ξ -Lie derivations of prime algebras by ξ -Lie zero products[J].Linear Algebra and Its Applications.2010(3)
  • 5Meiyan Jiao,Jinchuan Hou.Additive maps derivable or Jordan derivable at zero point on nest algebras[J].Linear Algebra and Its Applications.2010(11)
  • 6Sha Zhao,Jun Zhu.Jordan all-derivable points in the algebra of all upper triangular matrices[J].Linear Algebra and Its Applications.2010(11)
  • 7Fangyan Lu,Wu Jing.Characterizations of Lie derivations of B ( X )[J].Linear Algebra and Its Applications.2009(1)
  • 8Runling An,Jinchuan Hou.Characterizations of derivations on triangular rings: Additive maps derivable at idempotents[J].Linear Algebra and Its Applications.2009(5)
  • 9Jing Wu.On Jordan all-derivable points of B ( H )[J].Linear Algebra and Its Applications.2008(4)
  • 10Fangyan Lu.Characterizations of derivations and Jordan derivations on Banach algebras[J].Linear Algebra and Its Applications.2008(8)

二级参考文献17

  • 1Christensen E. Derivations of nest algebras [J]. Math Ann, 1977, 229:155- 161.
  • 2Crist R L. Local derivations on operator algebras [J]. J Funct Anal, 1996, 135:76-92.
  • 3Herstein I N. Jordan derivation on prime rings [J]. Proc Amer Math Soc, 1957, 8:1104- 1110.
  • 4Jing Wu, Lu Shijie, Li Pengtong. Characterization of derivation on some operator algebras [J]. Bull Austral Math Soc, 2001, 353:313 315.
  • 5Zhu Jun, Xiong Changping. Generalized derivable mappings at zero point on nest algebras [J]. Acta Math Sinica, 2002, 45:783- 788.
  • 6Hou Jinchuan, Jiao Meiyan. Additive derivable maps at zero point on nest algebras, preprint.
  • 7Hou Jinchuan, Qi Xiaofei. Derivable maps at some points on JSL algebras [J]. Lin Alg Appl, 2008, 429:1851-1863.
  • 8An Runling, Hou Jinchuan. Characterizations of derivations on triangular rings: addi- tive maps derivable at idempotents [J]. Lin Alg Appl, 2009, 431:1070-1080.
  • 9Zhu Jun, Xiong Changping, Zhang Rui. All derivable points in the algebra of all upper triangular matrices [J]. Lin Alg Appl, 2008, 429:804 -818.
  • 10Zhu Jun, Xiong Changping, Zhang Ling. All derivable points in matrix algebras [J]. Lin Alg Appl, 2009, 430:2070 -2079.

共引文献3

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二级引证文献4

数学学报（中文版）
2014年 第6期

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