{"title":"涉及广义佩尔佩尔卢卡斯四元数的广义四元数代数新成果","authors":"Rachid Chaker, Abdelkarim Boua","doi":"10.37394/23206.2024.23.50","DOIUrl":null,"url":null,"abstract":"his work presents a new sequence, generalized Pell-Pell-Lucas quaternions, we prove that the set of these elements forms an order of generalized quaternions with 3-parameters kλ1,λ2,λ3 as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to kλ1,λ2,λ3 algebras and sometimes to the 2-parameter algebra H(α, β).","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"6 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions\",\"authors\":\"Rachid Chaker, Abdelkarim Boua\",\"doi\":\"10.37394/23206.2024.23.50\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"his work presents a new sequence, generalized Pell-Pell-Lucas quaternions, we prove that the set of these elements forms an order of generalized quaternions with 3-parameters kλ1,λ2,λ3 as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to kλ1,λ2,λ3 algebras and sometimes to the 2-parameter algebra H(α, β).\",\"PeriodicalId\":55878,\"journal\":{\"name\":\"WSEAS Transactions on Mathematics\",\"volume\":\"6 10\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23206.2024.23.50\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2024.23.50","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions
his work presents a new sequence, generalized Pell-Pell-Lucas quaternions, we prove that the set of these elements forms an order of generalized quaternions with 3-parameters kλ1,λ2,λ3 as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to kλ1,λ2,λ3 algebras and sometimes to the 2-parameter algebra H(α, β).
期刊介绍:
WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.