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The Properties of Normal R_0 Algebras

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Quantitative Logic and Soft Computing 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 82))

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Abstract

In this paper, we consider the properties of normal R0 algebras and the relationship between normal R0 algebras and other algebras. We also discuss the filters of normal R0 algebras. We get that in a R0 algebra, the following conditions are equivalent : F is an implicative filter of L; F is a positive implicative filter of L; F is a Boolean filter of L. And F is a filter if and only if F is a fantastic filter.

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Author information

Authors and Affiliations

  1. School of Science, China Jiliang University, Hangzhou, 310018, China

    Hua-Rong Zhang

Authors
  1. Hua-Rong Zhang
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Editor information

Editors and Affiliations

  1. Guangzhou University, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, **’an, China

    Guo-jun Wang

  3. Jimei University, Fujian, China

    Shui-li Chen

  4. Liaoning Technical University, Fuxing, China

    Si-zong Guo

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© 2010 Springer-Verlag Berlin Heidelberg

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Zhang, HR. (2010). The Properties of Normal R_0 Algebras. In: Cao, By., Wang, Gj., Chen, Sl., Guo, Sz. (eds) Quantitative Logic and Soft Computing 2010. Advances in Intelligent and Soft Computing, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15660-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-15660-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15659-5

  • Online ISBN: 978-3-642-15660-1

  • eBook Packages: EngineeringEngineering (R0)

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