• Title/Summary/Keyword: proximal homomorphism

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A HOMOMORPHISM OF MINIMAL SETS AND ITS REGULARIZER

  • Song, H.S.
    • Korean Journal of Mathematics
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    • v.18 no.1
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    • pp.79-86
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    • 2010
  • In this paper we give some results on homomorphisms of flows. In particular, we investigate the sufficient conditions for the homomorphism of flows to be its own regularizer.

RELATIVE REGULAR RELATIONS

  • Yu, Jung Ok
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.525-534
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    • 2009
  • In this paper the relative regular relations with respect to a homomorphism are defined and it will be given the necessary and sufficient conditions for the relations to be transitive.

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REGULAR RELATION WITH RESPECT TO A HOMOMORPHISM

  • Yu, Jung Ok;Lee, Young Chan
    • Journal of the Chungcheong Mathematical Society
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    • v.11 no.1
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    • pp.59-71
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    • 1998
  • In this paper we define a regular relation with respect to a homomorphism in transformation groups and we find the equivalent conditions for the relation to be an equivalence relation.

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ON HOMOMORPHISMS ON CSASZAR FRAMES

  • Chung, Se-Hwa
    • Communications of the Korean Mathematical Society
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    • v.23 no.3
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    • pp.453-459
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    • 2008
  • We introduce a concept of continuous homomorphisms between Csaszar frames and show that the Cauchy completion in CsFrm gives rise to a coreflection in the category PCsFrm (resp. UCsFrm) consisting of proximal Csaszar frames and uniform continuous homomor-phisms (resp. uniform Csaszar frames and uniform continuous homomor-phisms).

THE CONSTRUCTION OF RELATIVE F-REGULAR RELATIONS

  • Song, Hyungsoo
    • Korean Journal of Mathematics
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    • v.9 no.2
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    • pp.123-128
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    • 2001
  • Given a homomorphism ${\Pi}:X{\rightarrow}Y$, with Y minimal, we will introduce the concept of a relative (to ${\Pi}$) F-regular relation which generalize the notions of F-proximality, F-regularity and relative F-proximality, and will study its properties.

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THE RELATIVE REGIONALLY REGULAR RELATION

  • Yu, Jung Ok;Shin, Se Soon
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.495-501
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    • 2007
  • In this paper the relative regionally regular relation is defined and it will be given the necessary and sufficient conditions for the relation to be an equivalence relation.

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