期刊论文详细信息
| Journal of Mathematical Sciences | |
| Left Distributive Quasigroups and Gyrogroups | |
| Issa, A. Nourou1 | |
| 关键词: Quasigroups; loops; gyrogroups; homogeneous symmetric spaces; semidirect and gyrosemidirect products; gyrovector spaces; | |
| DOI : | |
| 学科分类：数学（综合） | |
| 来源: University of Tokyo * Department of Mathematical Sciences | |
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【 摘 要 】
Theconnectionbetweengyrogroupsandsometypesofleftdistributivequasigroupsisestablishedbymeansofisotopyconsiderations.Anyquasigroupofreflectionisisotopictosomegyrocommutativegyrogroupandanyleftdistributivequasigroupsatisfyingsomespecificconditionisisotopictosomenongyrocommutativegyrogroup.Thegeometryofreductivehomogeneousspacesandthesemidirectproductforhomogeneousloopsareusedtoproducelocalexactdecompositionsofgroupsandlocalgyrocommutativegyrogroups.
【 授权许可】
Unknown
【 预 览 】
| Files | Size | Format | View |
|---|---|---|---|
| RO201912090769761ZK.pdf | 133KB |  download |
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