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On the number of fuzzy subgroups of finite abelian p-groups with type (pn, pm)

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4 Author(s)
Songfang Jia ; College of Mathematics and Computer Science, Chongqing Three Gorges University, 404100, China ; Yanheng Chen ; Jinkui Liu ; Youyi Jiang

It is well known that a finite abelian group can be written as a direct product of p-groups. Therefor the problem of counting the fuzzy subgroups of finite abelian groups must be first solved for p-groups. In this paper, we determine the number of fuzzy subgroups of finite abelian p-groups with type (pn, pm), and get explicit formula of it, where p is a prime and n is a natural number, m = 1, 2.

Published in:

Computer Research and Development (ICCRD), 2011 3rd International Conference on  (Volume:4 )

Date of Conference:

11-13 March 2011