Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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σ-COHERENT FRAMES

  • Lee, Seung On (DEPARTMENT OF MATHEMATICS CHUNGBUK NATIONAL UNIVERSITY)
  • Received : 2001.04.23
  • Published : 2001.07.18
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Abstract

We introduce a new class of ${\sigma}$-coherent frames and show that HA is a ${\sigma}$-coherent frame if A is a ${\sigma}$-frame. Based on this, it is shown that a frame is ${\sigma}$-coherent iff it is isomorphic to the frame of ${\sigma}$-ideals of a ${\sigma}$-frame. Finally we show that ${\sigma}$-COhFrm and ${\sigma}$Frm are equivalent.

Keywords