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The structure and expression of power group

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Fuzzy Information and Engineering

Abstract

With the application of the topological upgrade, more and more experts are interested in the problems concerning the mathematical structure’s upgrade to its power set. This paper is a further study on the structure and interrelationship of a power group. By revealing the nature of relationship between the power group and a regular one, the present paper proves some theorems of the structure of the power group and constructs some theorems on its homomorphism and isomorphism as well, proposing an expression form and isomorphism replacement construct methods of the power group.

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Author information

Authors and Affiliations

  1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P.R.China

    Yu-bin Zhong & Bing-yuan Cao

  2. Mathematics Department of Zhanjiang Educational College, Zhanjiang, 524037, P.R.China

    Jin Zheng

Authors
  1. Yu-bin Zhong
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  2. Jin Zheng
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  3. Bing-yuan Cao
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Corresponding authors

Correspondence to Yu-bin Zhong, Jin Zheng or Bing-yuan Cao.

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Zhong, Yb., Zheng, J. & Cao, By. The structure and expression of power group. Fuzzy Inf. Eng. 2, 213–224 (2010). https://doi.org/10.1007/s12543-010-0046-5

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  • DOI: https://doi.org/10.1007/s12543-010-0046-5

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