• Title/Summary/Keyword: universal minimal transformation group

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REGULAR HOMOMORPHISMS IN TRANSFORMATION GROUPS

  • Yu, Jung Ok
    • Journal of the Chungcheong Mathematical Society
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    • v.14 no.1
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    • pp.49-59
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    • 2001
  • In this paper, we introduce an extended notion of regular homomorphism of minimal sets by considering a certain subgroup of the group of automorphisms of a universal minimal transfomation group.

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REMARK ON REGULAR MINIMAL SETS

  • Yu, Jung Ok
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.71-77
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    • 1995
  • In this paper, we define a subgroup S(X, ${\gamma}$) of the group of automorphisms of universal minimal sets and give a necessary and sufficient condition for a minimal transformation group to be regular.

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r-HOMOMORPHISMS IN TRANSFORMATION GROUPS

  • Yu, Jung Ok;Shin, Se Soon
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.4
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    • pp.555-562
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    • 2008
  • In this paper, it will be given a necessary and sufficient condition for a function to be an r-homomorphism in connection with the subgroups of the automorphism group of a universal minimal set.

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