Browsing Theses and Dissertations (Mathematical Sciences) by Advisor "Dube, T. A."

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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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