COMPUTING FUZZY SUBGROUPS OF SOME SPECIAL CYCLIC GROUPS

被引：0
|
作者：
Makamba, Babington [1 ]
Munywoki, Michael M. [2 ]
机构：
[1] Univ Ft Hare, Dept Math, ZA-5700 Alice, South Africa
[2] Tech Univ Mombasa, Dept Math & Phys, Mombasa 80100, Kenya
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 04期
关键词：
maximal chain; equivalence; fuzzy subgroups;
D O I：
10.4134/CKMS.c180341
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the number of distinct fuzzy subgroups of the group Z(pn) x Z(qm) x Z(r), m = 1, 2, 3 where p, q, r are distinct primes for any n is an element of Z(+) using the criss-cut method that was proposed by Murali and Makamba in their study of distinct fuzzy subgroups. The criss-cut method first establishes all the maximal chains of the subgroups of a group G and then counts the distinct fuzzy subgroups contributed by each chain. In this paper, all the formulae for calculating the number of these distinct fuzzy subgroups are given in polynomial form.
引用
收藏
页码：1049 / 1067
页数：19
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