Compact totally ℋ ordered semigroups

Carruth, J. H.; Clark, C. E.

doi:10.1090/S0002-9939-1971-0271263-2

Compact totally $\mathcal {H}$ ordered semigroups
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by J. H. Carruth and C. E. Clark PDF

Proc. Amer. Math. Soc. 27 (1971), 199-204 Request permission

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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