The structure and expression of power group

Yu-bin Zhong (), Jin Zheng () and Bing-yuan Cao ()
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Yu-bin Zhong: Guangzhou University
Jin Zheng: Mathematics Department of Zhanjiang Educational College
Bing-yuan Cao: Guangzhou University

Fuzzy Information and Engineering, 2010, vol. 2, issue 2, 213-224

Abstract: 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.

Keywords: Expression; Homomorphism; Isomorphism; Power group; Structure (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0046-5

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