Work

Applications of Two-Sided Bases on Ordered Ternary Semigroups

Year: 2026

Type: article

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.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-24-2026-275

Authors: Jatuporn Sanborisoot, Wichayaporn Jantanan, Ronnason Chinram

Institutions: Mahasarakham University, Buriram Rajabhat University, Prince of Songkla University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

Funder: Mahasarakham University