Ergodic semigroups of epimorphisms
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- by Daniel Berend PDF
- Trans. Amer. Math. Soc. 289 (1985), 393-407 Request permission
Abstract:
The conditions for ergodicity of semigroups of epimorphisms of compact groups are studied. In certain cases ergodic semigroups are shown to contain small ergodic subsemigroups. Properties related to ergodicity, such as that of admitting no infinite closed invariant proper subset of the group, are discussed for semigroups of epimorphisms and of affine transformations.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 289 (1985), 393-407
- MSC: Primary 22D40; Secondary 54H15, 54H20
- DOI: https://doi.org/10.1090/S0002-9947-1985-0779072-7
- MathSciNet review: 779072