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Browsing Department of Mathematical Sciences by Subject "Ideal"

Browsing Department of Mathematical Sciences by Subject "Ideal"

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  • Ideals of function rings associated with sublocales 
    Stephen, Dorca Nyamusi (2021-03)
    The ring of real-valued continuous functions on a completely regular frame L is denoted by RL. As usual, βL denotes the Stone-Cech compactification of ˇ L. In the thesis we study ideals of RL induced by sublocales of βL. ...
  • Sublocale-based ideals of rings of integer-valued functions 
    Tlharesakgosi, Batsile (2021-07)
    Let L be a zero-dimensional frame and ZL be the ring of continuous integer-valued functions on L. We associate with each sublocale of L, the Banaschewski compacti cation of L, an ideal of ZL, and study the behaviour of ...

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