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Maximal semigroup orbits

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Abstract

In this paper we show that certain actions are the a-homomorphic images of actions with disjoint maximal orbits. We also show that if T is a compact semigroup acting on a compact space X, then there is a compact right trivial semigroup Y and a congruenceN of T×Y such that (T×Y)/N homeomorphic to X and the action T×X→X is isomorphic the action of T on (T×Y)/N.

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Authors and Affiliations

  1. University of Massachusetts, Amherst, Massachusetts

    J. T. Borrego & E. E. DeVun

  2. Wichita State University, Wichita, Kansas

    J. T. Borrego & E. E. DeVun

Authors
  1. J. T. Borrego
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  2. E. E. DeVun
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Additional information

Communicated by A. D. Wallace

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Borrego, J.T., DeVun, E.E. Maximal semigroup orbits. Semigroup Forum 4, 61–68 (1972). https://doi.org/10.1007/BF02570769

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  • DOI: https://doi.org/10.1007/BF02570769

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