Browsing Department of Mathematical Sciences by Subject "512.4"

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Concerning ideals of pointfree function rings

Ighedo, Oghenetega (2013-11)

We study ideals of pointfree function rings. In particular, we study the lattices of z-ideals and d-ideals of the ring RL of continuous real-valued functions on a completely regular frame L. We show that the lattice 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. ...
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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