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Some aspects of semirings of functions.

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. / Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2012.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:ukzn/oai:http://researchspace.ukzn.ac.za:10413/10443
Date25 February 2014
CreatorsNsayi, Jissy Nsonde.
ContributorsGhosh, Partha Pratim.
Source SetsSouth African National ETD Portal
Languageen_ZA
Detected LanguageEnglish
TypeThesis

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