Quaternion rings and octonion rings
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, G[Lee, Gangyong] | - |
dc.contributor.author | Oshiro, K[Oshiro, Kiyoichi] | - |
dc.date.accessioned | 2021-07-30T15:25:42Z | - |
dc.date.available | 2021-07-30T15:25:42Z | - |
dc.date.created | 2017-01-12 | - |
dc.date.issued | 2017-02 | - |
dc.identifier.issn | 1673-3452 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/30421 | - |
dc.description.abstract | In this paper, for rings R, we introduce complex rings a",(R), quaternion rings a"i(R), and octonion rings O(R), which are extension rings of R; R aS, a",(R) aS, a"i(R) aS, O(R). Our main purpose of this paper is to show that if R is a Frobenius algebra, then these extension rings are Frobenius algebras and if R is a quasi-Frobenius ring, then a",(R) and a"i(R) are quasi-Frobenius rings and, when Char(R) = 2, O(R) is also a quasi-Frobenius ring. | - |
dc.publisher | HIGHER EDUCATION PRESS | - |
dc.title | Quaternion rings and octonion rings | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Lee, G[Lee, Gangyong] | - |
dc.identifier.doi | 10.1007/s11464-016-0571-6 | - |
dc.identifier.scopusid | 2-s2.0-84979234629 | - |
dc.identifier.wosid | 000387566400010 | - |
dc.identifier.bibliographicCitation | FRONTIERS OF MATHEMATICS IN CHINA, v.12, no.1, pp.143 - 155 | - |
dc.relation.isPartOf | FRONTIERS OF MATHEMATICS IN CHINA | - |
dc.citation.title | FRONTIERS OF MATHEMATICS IN CHINA | - |
dc.citation.volume | 12 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 143 | - |
dc.citation.endPage | 155 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Hamilton quaternion numbers | - |
dc.subject.keywordAuthor | Cayley-Grave&apos | - |
dc.subject.keywordAuthor | s tables | - |
dc.subject.keywordAuthor | complex rings | - |
dc.subject.keywordAuthor | quaternion rings | - |
dc.subject.keywordAuthor | octonion rings | - |
dc.subject.keywordAuthor | Frobenius algebras | - |
dc.subject.keywordAuthor | QF-rings | - |
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