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arXiv · 1904.06642

The number of fuzzy subgroups of a finite abelian group of order $p^{n}q^{m}$

Lingling Han·Xiuyun Guo
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Abstract

The purpose of this paper is to determine the number of fuzzy subgroups of a finite abelian group of order $p^{n}q^{m}$. As an application of our main result, explicit formulas for the number of fuzzy subgroups of $\mathbb{Z}_{p}^{n}\times\mathbb{Z}_{q}^{m}$ and $\mathbb{Z}_{p^{n}}\times\mathbb{Z}_{q}^{m}$ are given.

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Lingling Han, Xiuyun Guo. 2019-04-14. The number of fuzzy subgroups of a finite abelian group of order $p^{n}q^{m}$. https://arxiv.org/abs/1904.06642

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