Enumeration of Bi-Commutative–AG-groupoids
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https://elib.sfu-kras.ru/handle/2311/135205Author:
Rashad, Muhammad
Ahmad, Imtiaz
Shah, Muhammad
Saeid, A. Borumand
Рашад, Мухаммед
Ахмад, Имтиаз
Шах, Мухаммед
Саид, А. Боруманд
Date:
2020-05Journal Name:
Журнал Сибирского федерального университета.Математика и физика.Journal of Siberian Federal University. Mathematics & Physics, 2020 13 (3)Abstract:
In this paper, we introduce (left, right) bi-commutative AG-groupoids and provide a simple
method to test whether an arbitrary AG-groupoid is bi-commutative AG-groupoid or not. We also
explore some of the general properties of these AG-groupoids. Further we introduce and study some
properties of ideals in these AG-groupoids and decompose left commutative AG-groupoids by defining
some congruences on these AG-groupoids В этой статье мы вводим (слева, справа) бикоммутативные AG-группоиды и предлагаем простой метод проверки, является ли произвольный AG-группоид бикоммутативным AG-группоидом или нет. Мы также исследуем некоторые общие свойства этих AG-группоидов. Далее
вводим и изучаем некоторые свойства идеалов в этих AG-группоидах и разлагаем левые коммутативные AG-группоиды, определяя некоторые конгруэнции на этих AG-группоидах
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