{"title":"弱中的同态Γ-Ring","authors":"Orgest Beqiri","doi":"10.56345/ijrdv10n211","DOIUrl":null,"url":null,"abstract":"Many algebraic structures have been defined so far. One of them, is that of Γ-ring, which is a generalization of ring. Weakening some of the conditions of the definition of Γ-ring, it has also been defined the concept of weakly Γ-ring. An important and well-known concept for every algebraic structure is homomorphism. In this paper, the concept of homomorphism in weakly Γ-ring is introduced. Further, some simple results analogous to the theory of rings, related to this concept are extended. \n \nReceived: 05 May 2022 / Accepted: 10 June 2023 / Published: 23 July 2023","PeriodicalId":136623,"journal":{"name":"Interdisciplinary Journal of Research and Development","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Homomorphism in Weakly Γ-Ring\",\"authors\":\"Orgest Beqiri\",\"doi\":\"10.56345/ijrdv10n211\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Many algebraic structures have been defined so far. One of them, is that of Γ-ring, which is a generalization of ring. Weakening some of the conditions of the definition of Γ-ring, it has also been defined the concept of weakly Γ-ring. An important and well-known concept for every algebraic structure is homomorphism. In this paper, the concept of homomorphism in weakly Γ-ring is introduced. Further, some simple results analogous to the theory of rings, related to this concept are extended. \\n \\nReceived: 05 May 2022 / Accepted: 10 June 2023 / Published: 23 July 2023\",\"PeriodicalId\":136623,\"journal\":{\"name\":\"Interdisciplinary Journal of Research and Development\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Interdisciplinary Journal of Research and Development\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56345/ijrdv10n211\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Interdisciplinary Journal of Research and Development","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56345/ijrdv10n211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Many algebraic structures have been defined so far. One of them, is that of Γ-ring, which is a generalization of ring. Weakening some of the conditions of the definition of Γ-ring, it has also been defined the concept of weakly Γ-ring. An important and well-known concept for every algebraic structure is homomorphism. In this paper, the concept of homomorphism in weakly Γ-ring is introduced. Further, some simple results analogous to the theory of rings, related to this concept are extended.
Received: 05 May 2022 / Accepted: 10 June 2023 / Published: 23 July 2023
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