The existence of $\textrm {Irr}(X)$
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- by M. W. Mislove PDF
- Trans. Amer. Math. Soc. 175 (1973), 123-140 Request permission
Abstract:
If X is a compact totally ordered space, we obtain the existence of an irreducible semigroup with idempotents X, ${\text {Irr}}(X)$, with the property that any irreducible semigroup with idempotents X is the idempotent separating surmorphic image of ${\text {Irr}}(X)$. Furthermore, it is shown that the Clifford-Miller endomorphism on ${\text {Irr}}(X)$ is an injection when restricted to each $\mathcal {H}$-class of ${\text {Irr}}(X)$. A construction technique for noncompact semigroups is given, and some results about the structure of such semigroups are obtained.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 175 (1973), 123-140
- MSC: Primary 22A15
- DOI: https://doi.org/10.1090/S0002-9947-1973-0325839-0
- MathSciNet review: 0325839