DOI: 10.12732/ijam.v38i2.6
SEMIGROUPS IN WHICH THE
RADICAL OF EVERY BI-INTERIOR
IDEAL IS A SUBSEMIGROUP
Wichayaporn Jantanan 1, Suphawan Phalasak 1,
Supattra Tiangtas 1, and Ronnason Chinram 2,§
1 Department of Mathematics, Faculty of Science
Buriram Rajabhat University
Muang, Buriram, 31000 THAILAND
2 Division of Computational Science, Faculty of Science
Prince of Songkla University
Hat Yai, Songkhla, 90110 THAILAND
Abstract. 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 bi-ideal, 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.
How
to cite this paper?
DOI: 10.12732/ijam.v38i2.6
Source: International Journal of
Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 2
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