Thesis

Contributions to the Theory of Near Vector Spaces (2008)

Research papers

  1. K-T Howell and J.H. Meyer, “Finite-dimensional near-vector spaces over fields of prime order”, Communications in Algebra, 38:1(2010), 86 – 93.
  2. K-T Howell and C.J. Maxson, “Commutative Clifford Semigroups with Maximal Endomorphism Semirings”, Period. Math. Hungar. 63 (2011), 65-69.
  3. K-T Howell and C.J. Maxson, “(φ, ψ)-Mutations of Commutative Monoids with Maximal Endomorphism Semirings”, Quaestiones Mathematicae 36 (2013), 477-485.
  4. K-T Howell and C.J. Maxson, “Covers of Semigroups and Function Semirings”, Results in Mathematics 65 (2014), 429-439.
  5. K-T Howell and J.H. Meyer, “Near-vector spaces determined by finite fields”, Journal of Algebra 398 (2014), 55-62.
  6. K-T Howell, “On Subspaces and Mappings of Near-Vector Spaces”, Communications in Algebra 43:6 (2015), 2524-2540.
  7. T. Boykett and K-T Howell, “The Multiplicative Automorphisms of  a Finite Nearfield, with an Application”, Communications in Algebra 44 (2016), 2336-2350.
  8. D.S. Chistyakov and K-T Howell, “On the theory of near-vector spaces”, Journal of Mathematical Sciences, 230:3 (2018), 484-487.
  9. K-T Howell and S.P. Sanon, “Linear mappings of near-vector spaces”, Quaestiones Mathematicae, accepted, to appear.
  10. D.S. Chistyakov and K-T Howell, “Affine Near-rings”, Mathematical Notes, accepted, to appear.
  11. S. Dorfling, K-T Howell and S.P. Sanon, “The decomposition of finite dimensional Near-vector spaces,” Communications in Algebra, accepted, to appear.
  12. D. Chistyakov, K-T Howell and S.P. Sanon, “On representation theory and near-vector spaces,” Linear & Multilinear Algebra, accepted, to appear.
  13. L. Boonzaier, K-T Howell and S.P. Sanon, “An application of finite-dimensional near-vector spaces over finite fields of prime order in a finite linear game,” submitted.
  14. K-T Howell and C. Kestner, “Model theory and the construction of Near-vector spaces,” to be submitted.

Research Talks

  • A Characterisation of all Near Vector Spaces over Z_p for p a prime. The 20th annual Nearring Conference at the Johannes Kepler University in Linz, Austria, 2007 (with J.H. Meyer).
  • A Characterisation of all Near Vector Spaces over Z_p for p a prime. Colloquium at the Mathematics Division, Stellenbosch University, 2008.
  • Maximal Endomorphism SemiringsThe 21st annual Nearring Conference in Styria, Austria, 2009 (with C.J. Maxson).
  • Essay Writing as a Tool to Enhance the Mathematics Learning Environment, The Third Annual Conference on the Scholarship of Teaching and Learning, Stellenbosch University, May 2010.
  • Maximal Endomorphism Semirings – an Introduction. (Mini) Conference in Abstract Algebra, Department of Mathematical Sciences, Stellenbosch University, March 2010.
  • Maximal Endomorphism Semirings. Workshop in Abstract Mathematics, Department of Mathematical Sciences, Stellenbosch University, September 2010.
  • Maximal Endomorphism Semirings. The 53rd annual SAMS Congress, Pretoria University, November 2010.
  • (φ, ψ)-mutations of Commutative Monoids. The joint SAMS & AMS Congress, Nelson Mandela Metropolitan University, November 2011.
  • Subspaces of Near-Vector Spaces. The 23rd annual Nearring Conference in Bloemfontein, South Africa, July 2013.
  • Near-vector spaces determined by Finite Fields. Combinatorics 2016 in Maratea, Italy, June 2016.
  • Near-vector spaces determined by Finite Fields. SAMS Congress, UWC, November 2016.
  • An introduction to Near-vector spaces. Model Theory Conference, Stellenbosch University, January 2017.
  • An introduction to Near-vector spaces. WYMSIG Conference 2017 in Adelaide, Australia, September 2017.
  • An introduction to Near-vector spaces. Women in Discrete Mathematics Workshop at AIMS (South Africa), January 2018.

ICT Analyst Comments (Frost & Sullivan)

ICT Orcid Identifier

My unique Orcid Identifier is 0000-0002-7819-1260.

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Arthur Brisbane