ON THE CAYLEY–DICKSON PROCESS FOR DIALGEBRAS
Siberian Electronic Mathematical Reports, ISSN: 1813-3304, Vol: 16, Page: 2110-2123
2019
- 2Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
. We prove that the dialgebras, which are obtained by the Cayley–Dickson process from the two-dimensional commutative associative dialgebra D, are disimple noncommutative Jordan dialgebras. Furthermore, a decomposition holds for them into the direct sum of a composition algebra and the equating ideal of the dialgebra.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85091157857&origin=inward; http://dx.doi.org/10.33048/semi.2019.16.150; http://mi.mathnet.ru/eng/semr1191; https://dx.doi.org/10.33048/semi.2019.16.150; https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=semr&paperid=1191&option_lang=eng
Sobolev Institute of Mathematics
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