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关于上三角矩阵代数的Jordan导子 被引量:6

On Jordan derivations of upper triangular matrix algebra
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摘要 探讨交换半环上的上三角矩阵代数的Jordan导子,并证明了交换半环R上的上三角矩阵代数Tn(R)到Tn(R)-双模M的每个Jordan导子都可分解成一个导子和一个反导子之和. Let R be a commutative semiring,and let Tn(R) be an upper triangular matrix algebra over R,it is proved that every Jordan derivation from upper triangular matrix algebra Tn(R) into its bisemimodule is the sum of an derivation and an antiderivation.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第6期707-712,共6页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2012J01008) 福建省教育厅科研资助项目(JA12382)
关键词 交换半环 上三角矩阵代数 双半模 JORDAN导子 commutative semiring upper triangular matrix algebra bisemimodule Jordan derivation
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参考文献5

  • 1Benkovid D. Jordan derivations and antiderivations on triangular matrices[ J]. Linear Algebra Appl, 2005,397 : 234 -244.
  • 2Herstein I N. Jordan derivations of prime rings[ J]. Proceeding of the American Mathematical Society, 1957, 8 : 1 104 - 1 110.
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同被引文献18

  • 1李立斌,魏俊潮.矩阵代数的Stochastic矩阵子代数[J].工科数学,1998,14(4):26-27. 被引量:5
  • 2HERSTEIN I N. Jordan derivations of prime rings[J].proc Amer Math Soc, 1957(8):1104-1110.
  • 3. BENKOVIC D. Jordan derivations andantiderivations o,1 triangular matrices [J ] .Linear Algebra Appl, 2005,397 : 234-244.
  • 4MA FEI ,JI GUOXING. Generalized Jordan derivation on triangular algebra [J ].Linear and Multilinear Algebra, 2007,55 : 355-363.
  • 5BRESAR M. Jordan derivations onsemiprime rings[J ]. J Algebra, 1989,127:218-228.
  • 6WU JING,LIU SHI JIE.Generalized jordan derivations on primes rings and standard operator algebras [J].Taiwan Residents Journal of Mathematics, 2003,7 (4) : 605- 613.
  • 7GOLAN J S.Semirings and their applications [M ] .London:Kluwer Academic Publisher, 1999.
  • 8JACOBSON N.Basic algebra I [ M ].New York :W H Freeman and Company, 1985.
  • 9邵霞,纪培胜,滕飞.上三角矩阵代数上的广义Jordan导子[J].青岛大学学报(自然科学版),2008,21(2):18-21. 被引量:1
  • 10张建华.套代数上的Jordan导子[J].数学学报(中文版),1998,41(1):205-212. 被引量:16

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