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Compact totally $ \mathcal{H}$ ordered semigroups


Authors: J. H. Carruth and C. E. Clark
Journal: Proc. Amer. Math. Soc. 27 (1971), 199-204
MSC: Primary 22.05
DOI: https://doi.org/10.1090/S0002-9939-1971-0271263-2
MathSciNet review: 0271263
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Abstract: Compact totally $ \mathcal{H}$ ordered semigroups are characterized. Each such semigroup is abelian and is, in fact, a closed subsemigroup of an $ I$-semigroup. Several questions are posed about (algebraic) semigroups which are naturally totally (quasi-) ordered.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0271263-2
Keywords: Compact semigroup, $ I$-semigroup, ordered semigroup, totally $ \mathcal{H}$ ordered semigroup, monothetic semigroup, generalized hormos, ordinal sum, contact extension
Article copyright: © Copyright 1971 American Mathematical Society

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