Return to search

Primeness in near-rings of continuous maps

The prototype of a near-ring is the set of all self-maps of an additively written (but not necessarily abelian) group under pointwise addition and composition of maps. Moreover, any near-ring with unity can be embedded in a near-ring (with unity) of self-maps of some group. For this reason, a lot of research has been done on near-rings of maps. In 1979, Hofer [16] gave the study of near-rings of maps a topological avour by considering the near- ring of all continuous self-maps of a topological group. In this dissertation we consider some standard constructions of near-rings of maps on a group G and investigate these when G is a topological group and our near-ring consists of continuous maps.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:nmmu/vital:10512
CreatorsMogae, Kabelo
PublisherNelson Mandela Metropolitan University, Faculty of Science
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeThesis, Doctoral, PhD
Formatvii, 89 leaves, pdf
RightsNelson Mandela Metropolitan University

Page generated in 0.0016 seconds