Some aspects of semirings of functions.

Abstract

A well known fact of classical analysis is that the Stone- Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An extension of this result is obtained [1] using semiring of non-negative real valued continuous functions on the Tychono space. The present work makes a survey of this paper and attempts to extend this to the point free domain, in which it is shown that the collection of frame homomorphisms from the frame of non-negative reals to a frame is a semiring again.