{"title":"一些初等阿贝尔群和四元数群的可分辨模糊子群的个数","authors":"Olayiwola Abdulhakeem, Suleiman Bashir Adamu","doi":"10.22457/ijfma.v13n1a3","DOIUrl":null,"url":null,"abstract":"In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"29 3-4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups\",\"authors\":\"Olayiwola Abdulhakeem, Suleiman Bashir Adamu\",\"doi\":\"10.22457/ijfma.v13n1a3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.\",\"PeriodicalId\":385922,\"journal\":{\"name\":\"International Journal of Fuzzy Mathematical Archive\",\"volume\":\"29 3-4\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Fuzzy Mathematical Archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/ijfma.v13n1a3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v13n1a3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文就文献中存在的等价关系≈，计算了形式为Z Z p p x的初等阿贝尔群和形式为Q4 p的四元数群的不同模糊子群的个数。我们的计算采用了群算法规划(GAP)。
On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups
In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.
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