SEMIGROUPS IN WHICH THE RADICAL OF EVERY BI-INTERIOR IDEAL IS A SUBSEMIGROUP

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.

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Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-05-10
DOI
https://doi.org/10.12732/ijam.v38i2.6
Primary Topic
semigroups and automata theory
Type
article
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article

SEMIGROUPS IN WHICH THE RADICAL OF EVERY BI-INTERIOR IDEAL IS A SUBSEMIGROUP

W. Jantanan, Ronnason Chinram, S. Phalasak, S. Tiangtas
International Journal of Apllied Mathematics
semigroups and automata theory
article

SEMIGROUPS IN WHICH THE RADICAL OF EVERY BI-INTERIOR IDEAL IS A SUBSEMIGROUP

W. Jantanan, Ronnason Chinram, S. Phalasak, S. Tiangtas
article en

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 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.

International Journal of Apllied MathematicsVol. 38(2)
Reduced inequalities
Openalex Percentile: Top 89%
semigroups and automata theory
DOIOpen Access PDFOpenAlex
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SEMIGROUPS IN WHICH THE RADICAL OF EVERY BI-INTERIOR IDEAL IS A SUBSEMIGROUP — W. Jantanan, Ronnason Chinram, et al. · International Journal of Apllied Mathematics (2025) | TGRS Research Map | TGRS