Compact totally ℋ ordered semigroups

Author:

Carruth J. H.,Clark C. E.

Abstract

Compact totally H \mathcal {H} ordered semigroups are characterized. Each such semigroup is abelian and is, in fact, a closed subsemigroup of an I I -semigroup. Several questions are posed about (algebraic) semigroups which are naturally totally (quasi-) ordered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. On the existence of one-parameter semigroups;Carruth, J. H.;Semigroup Forum,1970

2. Semigroups through semilattices;Carruth, J. H.;Trans. Amer. Math. Soc.,1970

3. Connected ordered topological semigroups with idempotent endpoints. I;Clifford, A. H.;Trans. Amer. Math. Soc.,1958

4. Naturally totally ordered commutative semigroups;Clifford, A. H.;Amer. J. Math.,1954

5. Compact semigroups irreducibly connected between two idempotents;Faucett, W. M.;Proc. Amer. Math. Soc.,1955

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