Groups associated with minimal flows

J. D. Lawson; Amha T. Lisan

Displaying similar documents to “Groups associated with minimal flows”

Quasitrivial semimodules. I.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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On sandwich sets and congruences on regular semigroups

Mario Petrich (2006)

Czechoslovak Mathematical Journal

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Let $S$ be a regular semigroup and $E (S)$ be the set of its idempotents. We call the sets $S (e, f) f$ and $e S (e, f)$ one-sided sandwich sets and characterize them abstractly where $e, f \in E (S)$ . For $a, a^{'} \in S$ such that $a = a a^{'} a$ , $a^{'} = a^{'} a a^{'}$ , we call $S (a) = S (a^{'} a, a a^{'})$ the sandwich set of $a$ . We characterize regular semigroups $S$ in which all $S (e, f)$ (or all $S (a))$ are right zero semigroups (respectively are trivial) in several ways including weak versions of compatibility of the natural order. For every $a \in S$ , we also define $E (a)$ as the set of all idempotets $e$ such that, for any congruence...

Quasitrivial semimodules. III.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2009)

Acta Universitatis Carolinae. Mathematica et Physica

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Flows near compact invariant sets. Part I

Pedro Teixeira (2013)

Fundamenta Mathematicae

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It is proved that near a compact, invariant, proper subset of a C⁰ flow on a locally compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. Theorem 1 shows that the connectedness of the phase space implies the existence of a considerably deeper classification of topological flow behaviour in the vicinity of compact invariant sets than that described in the classical theorems of Ura-Kimura and Bhatia. The proposed classification...