On Extensions over Semigroups and Applications
Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
Author to whom correspondence should be addressed.
Academic Editor: Tomasz Downarowicz
Received: 22 April 2016 / Revised: 4 June 2016 / Accepted: 9 June 2016 / Published: 15 June 2016
Applying a theorem according to Rhemtulla and Formanek, we partially solve an open problem raised by Hochman with an affirmative answer. Namely, we show that if G
is a countable torsion-free locally nilpotent group that acts by homeomorphisms on X
is a subsemigroup not containing the unit of G
has zero topological entropy.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Huang, W.; Jin, L.; Ye, X. On Extensions over Semigroups and Applications. Entropy 2016, 18, 230.
Huang W, Jin L, Ye X. On Extensions over Semigroups and Applications. Entropy. 2016; 18(6):230.
Huang, Wen; Jin, Lei; Ye, Xiangdong. 2016. "On Extensions over Semigroups and Applications." Entropy 18, no. 6: 230.
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