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Browsing by Advisor "Dube, T. A."

Browsing by Advisor "Dube, T. A."

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  • Coz-related and other special quotients in frames 
    Matlabyana, Mack Zakaria (2012-02)
    We study various quotient maps between frames which are defined by stipulating that they satisfy certain conditions on the cozero parts of their domains and codomains. By way of example, we mention that C-quotient and C ...
  • Frames of ideals of commutative f-rings 
    Sithole, Maria Lindiwe (2018-09)
    In his study of spectra of f-rings via pointfree topology, Banaschewski [6] considers lattices of l-ideals, radical l-ideals, and saturated l-ideals of a given f-ring A. In each case he shows that the lattice of each of ...
  • 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. ...
  • Topics on z-ideals of commutative rings 
    Tlharesakgosi, Batsile (2017-08)
    The first few chapters of the dissertation will catalogue what is known regarding z-ideals in commutative rings with identity. Some special attention will be paid to z-ideals in function rings to show how the presence ...
  • Variants of P-frames and associated rings 
    Nsayi, Jissy Nsonde (2015-12)
    We study variants of P-frames and associated rings, which can be viewed as natural generalizations of the classical variants of P-spaces and associated rings. To be more precise, we de ne quasi m-rings to be those rings ...

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