| 三角代数上的广义Jordan导子 |
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| 引用本文： | 马飞,朱小龙,赵建堂.三角代数上的广义Jordan导子[J].纯粹数学与应用数学,2009,25(3):595-602. |
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| 作者姓名： | 马飞 朱小龙 赵建堂 |
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| 作者单位： | 马飞,赵建堂(咸阳师范学院数学与信息科学学院,陕西,威阳,712000);朱小龙(宁夏师范学院数学与计算机科学学院,宁夏,固原,756000) |
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| 基金项目： | 成阳师范学院科研项目 |
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| 摘 要： | 主要研究了三角代数上的广义Jordan导子．利用三角代数上广义Jordan导子和广义内导子的联系．证明了作用在一个含单位元的可交换环上的三角代数到其自身上的环线性广义Jordan导子是一个广义导子．
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| 关 键 词： | 广义Jordan导子 广义内导子 广义导子 三角代数 |
Generalized Jordan derivations of triangular algebras |
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| MA Fei ,ZHU Xiao-long ,ZHAO Jian-tang.Generalized Jordan derivations of triangular algebras[J].Pure and Applied Mathematics,2009,25(3):595-602. |
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| Authors: | MA Fei ZHU Xiao-long ZHAO Jian-tang |
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| Institution: | MA Fei 1,ZHU Xiao-long 2,ZHAO Jian-tang 1 (1.College of Mathematics , Information Science,Xianyang Normal University,Xianyang 712000,China,2.College of Mathematics , Computer Science,Ningxia Normal University,Guyuan 756000,China) |
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| Abstract: | In this paper, generalized Jordan derivations of triangular algebra are discussed. By the relation of generalized Jordan derivation and generalized inner derivation of triangular algebra, we show that every Rlinear generalized Jordan derivation of triangular algebras over a commutative ring with identity is a generalized derivation. |
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| Keywords: | generalized Jordan derivation generalized inner derivation generalized derivation triangular algebra |
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