SEMIGROUPS IN WHICH THE RADICAL OF EVERY BI-INTERIOR IDEAL IS A SUBSEMIGROUP
W. Jantanan, S. Phalasak, S. Tiangtas, Ronnason Chinram · International Journal of Apllied Mathematics · 2025
In this paper, we focus on studying the radical of bi-interior ideals of semigroups.We characterize when the radical of every bi-interior ideal is a subsemigroup, a right ideal, a left ideal, a quasi-ideal, an ideal, a biideal, an interior ideal and a bi-interior ideal.Also, the radical of every subsemigroup, right ideal, left ideal, quasi-ideal, ideal, bi-ideal, interior ideal and bi-interior ideal is a bi-interior ideal.