{"title":"复赋范超代数的元谱","authors":"","doi":"10.33976/iugns.29.2/2021/5","DOIUrl":null,"url":null,"abstract":"In this paper, we present new results of the spectrum of elements of a complex normed hyper-algebra. Also, we study the unitization and the quasi-inverse of a normed hyperalgebra without a unit element. Moreover, we prove that if X is a complex normed normal hyperalgebra without a unit element and Y is the unitization X + C of X. Then σY ((x, 0)) ⊆ σX(x).","PeriodicalId":440576,"journal":{"name":"IUG Journal of Natural Studies","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Spectrum of Elements of a Complex Normed Hyperalgebra\",\"authors\":\"\",\"doi\":\"10.33976/iugns.29.2/2021/5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present new results of the spectrum of elements of a complex normed hyper-algebra. Also, we study the unitization and the quasi-inverse of a normed hyperalgebra without a unit element. Moreover, we prove that if X is a complex normed normal hyperalgebra without a unit element and Y is the unitization X + C of X. Then σY ((x, 0)) ⊆ σX(x).\",\"PeriodicalId\":440576,\"journal\":{\"name\":\"IUG Journal of Natural Studies\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IUG Journal of Natural Studies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33976/iugns.29.2/2021/5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IUG Journal of Natural Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33976/iugns.29.2/2021/5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Spectrum of Elements of a Complex Normed Hyperalgebra
In this paper, we present new results of the spectrum of elements of a complex normed hyper-algebra. Also, we study the unitization and the quasi-inverse of a normed hyperalgebra without a unit element. Moreover, we prove that if X is a complex normed normal hyperalgebra without a unit element and Y is the unitization X + C of X. Then σY ((x, 0)) ⊆ σX(x).
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