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Jordan Triple Multiplicative Maps on the Symmetric Matrices

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Web Information Systems and Mining (WISM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6987))

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Abstract

In this paper, we show that every injective Jordan triple multiplicative map on S 2(C) must be surjection, and hence is a Jordan ring homomorphism.

* This work is supported by Natural Science Foundation of Shanxi Provice,China (Crant No. 2010011008).

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Taiyuan University of Technology, Taiyuan, 030024, China

    Haifeng Zhang & Yuying Li

Authors
  1. Haifeng Zhang
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  2. Yuying Li
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Editor information

Editors and Affiliations

  1. Department of Computer and Inforamtion Science, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China

    Zhiguo Gong

  2. School of Computer, Shanghai University, 200444, Shanghai, China

    Xiangfeng Luo

  3. College of Computer and Software, Taiyuan University of Technology, 030024, Taiyuan, China

    Junjie Chen

  4. School of Computer and Information Engineering, Shanghai University of Electric Power, 200090, Shanghai, China

    Jingsheng Lei

  5. Department of Business Administration, Caritas Institute of Higher Education, 18 Chui Ling Road, Tseung Kwan O, Hong Kong, China

    Fu Lee Wang

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhang, H., Li, Y. (2011). Jordan Triple Multiplicative Maps on the Symmetric Matrices. In: Gong, Z., Luo, X., Chen, J., Lei, J., Wang, F.L. (eds) Web Information Systems and Mining. WISM 2011. Lecture Notes in Computer Science, vol 6987. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23971-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-23971-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23970-0

  • Online ISBN: 978-3-642-23971-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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