{"title":"素数的广义上左扶正器Γ-Rings","authors":"S. M. Salih, M. Karim, C. Haetinger","doi":"10.24297/jam.v21i.9357","DOIUrl":null,"url":null,"abstract":"In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized higher left centralizer of M and we prove every Jordan generalized higher left centralizer of certain Γ-ring M is Jordan generalized triple higher left centralizer of M.","PeriodicalId":31190,"journal":{"name":"Journal of Research and Advances in Mathematics Education","volume":"39 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generalized Higher Left Centralizer of Prime Γ-Rings\",\"authors\":\"S. M. Salih, M. Karim, C. Haetinger\",\"doi\":\"10.24297/jam.v21i.9357\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized higher left centralizer of M and we prove every Jordan generalized higher left centralizer of certain Γ-ring M is Jordan generalized triple higher left centralizer of M.\",\"PeriodicalId\":31190,\"journal\":{\"name\":\"Journal of Research and Advances in Mathematics Education\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Research and Advances in Mathematics Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24297/jam.v21i.9357\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Research and Advances in Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24297/jam.v21i.9357","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Higher Left Centralizer of Prime Γ-Rings
In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized higher left centralizer of M and we prove every Jordan generalized higher left centralizer of certain Γ-ring M is Jordan generalized triple higher left centralizer of M.