Applications of Two-Sided Bases on Ordered Ternary Semigroups

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DOI: https://doi.org/10.28924/2291-8639-24-2026-275
Published: Sep 2, 2026
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Jatuporn Sanborisoot, Wichayaporn Jantanan, Ronnason Chinram, Applications of Two-Sided Bases on Ordered Ternary Semigroups, Int. J. Anal. Appl., 24 (2026), 275.

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Jatuporn Sanborisoot, Wichayaporn Jantanan, Ronnason Chinram

Abstract

Ideal theory is an important area of research in ring theory and semigroup theory. Two-sided bases of ideals of semigroups are important in the study of ideal theory in semigroups. In this paper, we apply the notion of two-sided bases of ideals of semigroups to study the notion of two-sided bases of two-sided ideals of ordered ternary semigroups. The properties and examples of two-sided bases of an ordered ternary semigroup are also investigated and presented. Moreover, we also give the results for an ordered ternary semigroup containing two-sided bases.

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