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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2005
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/math/0508005 |
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| _version_ | 1866911145106866176 |
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| author | Kinyon, Michael Phillips, J. D. |
| author_facet | Kinyon, Michael Phillips, J. D. |
| contents | We partially answer two questions of Goodaire by showing that in a finite, strongly right alternative ring, the set of units (if the ring is with unity) is a Bol loop under ring multiplication, and the set of quasiregular elements is a Bol loop under "circle" multiplication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0508005 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Strongly right alternative rings and Bol loops Kinyon, Michael Phillips, J. D. Rings and Algebras Group Theory 17D05, 20N05 We partially answer two questions of Goodaire by showing that in a finite, strongly right alternative ring, the set of units (if the ring is with unity) is a Bol loop under ring multiplication, and the set of quasiregular elements is a Bol loop under "circle" multiplication. |
| title | Strongly right alternative rings and Bol loops |
| topic | Rings and Algebras Group Theory 17D05, 20N05 |
| url | https://arxiv.org/abs/math/0508005 |