Ordered semigroups containing covered (m,n)-ideals
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Abstract
In this article, we extend the concept of covered (m, n)-ideals by defining covered (m, n)-ideals of ordered semigroups, where m, n are nonnegative integers. The results obtained generalize those of covered one-sided ideals and covered bi-ideals. We additionally investigate the conditions under which, in an (m, n)-regular ordered semigroup S, every covered (m, n)-ideal of an (m, n)-ideal I of S is also a covered (m, n)-ideal of S.
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Kaewchay, S., Chinram, R., & Petapirak, M. (2025). Ordered semigroups containing covered (m,n)-ideals. Gulf Journal of Mathematics, 19(1), 169-177. https://doi.org/10.56947/gjom.v19i1.2537
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