- Title
- Primeness in near-rings of continuous maps
- Creator
- Mogae, Kabelo
- Subject
- Near-rings
- Subject
- Topological algebras
- Type
- Thesis
- Type
- Doctoral
- Type
- PhD
- Identifier
- vital:10512
- Identifier
- http://hdl.handle.net/10948/d1020597
- Description
- 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.
- Format
- vii, 89 leaves
- Format
- Publisher
- Nelson Mandela Metropolitan University
- Publisher
- Faculty of Science
- Language
- English
- Rights
- Nelson Mandela Metropolitan University
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NMMU School of Computer Science, Mathematics, Physics and Statistics
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