An extension formula for right Bol loops arising from Bol reflections
We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants: right multiplication group, nuclei, and center. We show that the core is an involutory quandle which is the disjoint uni...
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| Published in: | Communications in algebra Vol. 52; no. 12; pp. 5150 - 5164 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Abingdon
Taylor & Francis
01.12.2024
Taylor & Francis Ltd |
| Subjects: | |
| ISSN: | 0092-7872, 1532-4125 |
| Online Access: | Get full text |
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| Summary: | We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants: right multiplication group, nuclei, and center. We show that the core is an involutory quandle which is the disjoint union of two isomorphic involutory quandles. We also derive further results on the structure group of the core of the extension. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0092-7872 1532-4125 |
| DOI: | 10.1080/00927872.2024.2367161 |