Investigation into whether some key properties of BN under addition also apply in BN under multiplication and elaboration of some properties of the smallest ideal of a semigroup
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Authors
Mweete, Kapaipi Hendrix
Issue Date
2015-08
Type
Dissertation
Language
en
Keywords
Semigroup , Sub-semigroup , Left ideal , Right ideal , Ideal , Minimal left ideal , Minimal right ideal , Ultrafilter , Semigroup compactifcation , Commutativity , Idempotents , Smallest ideal
Alternative Title
Abstract
This dissertation will seek to explore if the properties of some of the key
results on semigroups and their compacti cations under the operation
of addition also apply under the operation of multiplication. Consider-
able emphasis will be placed on the semigroup N of the set of natural
numbers and its compacti cation N.
Furthermore, the dissertation will discuss the smallest ideal of a semi-
group and highlight some of its fundamental properties.
Description
Citation
Mweete, Kapaipi Hendrix (2015) Investigation into whether some key properties of BN under addition also apply in BN under multiplication and elaboration of some properties of the smallest ideal of a semigroup, University of South Africa, Pretoria, <http://hdl.handle.net/10500/20714>