{"title":"广义的组织","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":"{\"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}","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}
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.