Ergodic Semigroups of Epimorphisms
- 1 May 1985
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 289 (1) , 393-407
- https://doi.org/10.2307/1999708
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.Keywords
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