• Title/Summary/Keyword: Enveloping semigroup

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THE REPEATED ENVELOPING SEMIGROUP COMPACTIFICATIONS

  • FATTAHI, A.;MILNES, P.
    • Honam Mathematical Journal
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    • v.24 no.1
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    • pp.87-91
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    • 2002
  • This note consists of some efficient examples to support the notion of enveloping semigroup compactification and also employ this notion to obtain the universal reductive compactification.

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SOME DYNAMICAL PROPERTIES OF A WEAKLY ALMOST PERIODIC FLOW

  • Song, Hyung-Soo
    • Communications of the Korean Mathematical Society
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    • v.13 no.1
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    • pp.123-129
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    • 1998
  • In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow (X,T), the groups I and A(I) of all automorphisms of I are isomorphic, where E(X) is the enveloping semigroup of (X,T) and I is the minimal right ideal in E(X).

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A NOTE ON BITRANSFORMATION GROUPS

  • Song, Hyung Soo
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.227-232
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    • 2006
  • We study some dynamical properties in the context of bitransformation groups, and show that if (H,X,T) is a bitransformation group such that (H,X) is almost periodic and (X/H,T) is pointwise almost periodic $T_2$ and $x{\in}X$, then $E_x=\{q{\in}E(H,X){\mid}qx{\in}{\overline{xT}\}$ is a compact $T_2$ topological group and $E_{qx}=E_x(q{\in}E(H,X))$ when H is abelian, where E(H,X) is the enveloping semigroup of the transformation group (H,X).

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