The R-height of semigroups and their bi-ideals

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The R-height of a semigroup S is the height of the poset of R-classes of S. Given a semigroup S with finite R-height, we establish bounds on the R-height of bi-ideals, one-sided ideals and two-sided ideals; in particular, these substructures inherit the property of having finite R-height. We then investigate whether these bounds can be attained.
Original languageEnglish
JournalInternational Journal of Algebra and Computation
Early online date28 Nov 2022
Publication statusE-pub ahead of print - 28 Nov 2022

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