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Multiplication of integral octonions

Title
Multiplication of integral octonions
Authors
Kim, Myeung SuKim, YeonjunLee, Jae-HyoukNam, SeungbumPark, Kiho
Ewha Authors
이재혁
SCOPUS Author ID
이재혁scopus
Issue Date
2016
Journal Title
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
ISSN
0219-4988JCR Link1793-6829JCR Link
Citation
vol. 15, no. 8
Keywords
Integral quaternionintegral octonion
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Indexed
SCIE; SCOPUS WOS scopus
Abstract
The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E-8-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods.
DOI
10.1142/S0219498816501449
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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