Abstract
Characterizations are given of semigroupsS for which everyS-system is tree ordered and semigroupsS for which everyS-system is a free sum of tree semilattices.
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Reference
C. S. Jr. Johnson andF. R. McMorris,Semigroups for which every S-system has the natural partial order, Semigroup Forum8 (1974), 51–55.
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Johnson, C.S., McMorris, F.R. Semigroups that tree order sets on which they act. Algebra Universalis 16, 255–257 (1983). https://doi.org/10.1007/BF01191776
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DOI: https://doi.org/10.1007/BF01191776