{"title":"Generalized Groups","authors":"K. Aldwoah","doi":"10.37575/b/sci/0071","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to generalize the concept of a group where the triple (G, E, ⋆) represents a generalized group if G is a nonempty set, E represents an equivalence relation defined on G and the operation ⋆ is a function of G×G satisfying some conditions. The paper also reveals some concepts and provides some examples related to generalized groups.","PeriodicalId":39024,"journal":{"name":"Scientific Journal of King Faisal University","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Journal of King Faisal University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37575/b/sci/0071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to generalize the concept of a group where the triple (G, E, ⋆) represents a generalized group if G is a nonempty set, E represents an equivalence relation defined on G and the operation ⋆ is a function of G×G satisfying some conditions. The paper also reveals some concepts and provides some examples related to generalized groups.
期刊介绍：
The scientific Journal of King Faisal University is a biannual refereed scientific journal issued under the guidance of the University Scientific Council. The journal also publishes special and supplementary issues when needed. The first volume was published on 1420H-2000G. The journal publishes two separate issues: Humanities and Management Sciences issue, classified in the Arab Impact Factor index, and Basic and Applied Sciences issue, on June and December, and indexed in (CABI) and (SCOPUS) international databases.
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