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

• Main Author: Mweete, Kapaipi Hendrix
• Other Authors: Moche, I. O. G.
• Format: Others
• Language: en
• Published: 2016
• Subjects: 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
• Online Access: 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>; http://hdl.handle.net/10500/20714

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)