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

Description

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. / Mathematics / M. Sc. (Mathematics)

Links & Downloads

1. 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>
2. http://hdl.handle.net/10500/20714

Tags

Semigroup

Sub-semigroup

Left ideal

Right ideal

Ideal

Minimal left ideal

Minimal right ideal

Ultrafilter

Semigroup compactifcation

Commutativity

Idempotents

Smallest ideal

512.27

Semigroup algebras

Additional Fields

Identifer	oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/20714
Date	08 1900
Creators	Mweete, Kapaipi Hendrix
Contributors	Moche, I. O. G., Moshokoa, S.
Source Sets	South African National ETD Portal
Language	English
Detected Language	English
Type	Dissertation
Format	1 online resource (v, 54 leaves)