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Near vector spaces

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dc.contributor.author De Bruyn A en
dc.date.accessioned 2016-09-22T08:37:28Z
dc.date.available 2016-09-22T08:37:28Z
dc.date.created 1989 en
dc.date.submitted 1990 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/35162
dc.description.abstract The main aim of this thesis is to give an exposition of the theory of near vector spaces, as introduced by J. Andre (1). This is done in the second chapter. Concepts such as an F-group and its quasi-kernel are defined and investigated. A near vector space is then defined in terms of these notions, after which the theory of near vector spaces is developed. Three examples are given in chapter 3. Their quasi-kernels are investigated and, in each case, it is shown that the near vector space under consideration is not a vector space. Finally, in the fourth chapter, certain known results concerning linear transformations of finite-dimensional vector spaces are recalled. These notions are then investigated for certain near linear transformations of a 2-dimensional near vector space. en
dc.language English en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Algebra and number theory en
dc.title Near vector spaces en
dc.type Masters degree en
dc.description.degree MSc en

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