Constructions and involutory properties in latin quandles
عنوان مقاله: Constructions and involutory properties in latin quandles
شناسه ملی مقاله: JR_THEGR-13-1_001
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_THEGR-13-1_001
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Abednego Isere - Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Nigeria.
Julia Ezurike - Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Nigeria.
خلاصه مقاله:
Abednego Isere - Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Nigeria.
Julia Ezurike - Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Nigeria.
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^۲a +(۱-t)(tb+a) for all a,b \in Q and t\in A(Q).
کلمات کلیدی: Latin quandles, LIPQ, RIPQ, CIPQ, IPQ
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1947300/