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arXiv · 1808.01569

On Li--Yorke chaotic transformation groups modulo an ideal

Mehrnaz Pourattar·Fatemah Ayatollah Zadeh Shirazi
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Abstract

In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary properties. We continue our study by characterizing a class of abelian infinite Li-Yorke chaotic Fort transformation groups and show all of the elements of the above class is co-decomposable to non-Li-Yorke chaotic transformation groups.

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Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi. 2018-08-05. On Li--Yorke chaotic transformation groups modulo an ideal. https://arxiv.org/abs/1808.01569

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