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Constructions and involutory properties in latin quandles | ||
| International Journal of Group Theory | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 تیر 1401 اصل مقاله (346.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.132799.1780 | ||
| نویسندگان | ||
Abednego Orobosa Isere   ؛ Julia Ugomma Ezurike
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| Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Nigeria. | ||
| چکیده | ||
| This work studied involutory properties in Latin quandles using methods of quasiqroup theory, and classified latin quandle Q into Left Involutory Property latin Quandle (LIPQ), Right Involutory Property Latin Quandle (RIPQ) and Involutory Property Latin Quandle (IPQ). It investigated a fourth property called the Cross Involutory Property Latin Quandle (CIPQ). The result showed that a latin quandle Q that is a LIPQ and RIPQ is an IPQ. Moreover, it established that the necessary and sufficient conditions for a latin Alexander quandle Q to be a CIPQ is that b = t^2a + (1 − t)(tb + a) for all a, b ∈ Q and t ∈ A(Q). | ||
| کلیدواژه‌ها | ||
| Latin quandles؛ LIPQ؛ RIPQ؛ CIPQ؛ IPQ | ||
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آمار تعداد مشاهده مقاله: 94 تعداد دریافت فایل اصل مقاله: 6 |
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