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, “\((\phi, \psi)\)-Mutations of Commutative Monoids with Maximal Endomorphism Semirings”, Quaestiones Mathematicae 36 (2013), 477–485. https://doi.org/10.2989/16073606.2013.779970

  4. K-T Howell and C.J. Maxson, “Covers of Semigroups and Function Semirings”, Results in Mathematics 65 (2014), 429–439. https://doi.org/10.1007/s00025-013-0355-1

  5. K-T Howell and J.H. Meyer, “Near-vector spaces determined by finite fields”, Journal of Algebra 398 (2014), 55–62. https://doi.org/10.1016/j.jalgebra.2013.09.019

  6. K-T Howell, “On Subspaces and Mappings of Near-Vector Spaces”, Communications in Algebra 43:6 (2015), 2524–2540. https://doi.org/10.1080/00927872.2014.900689

  7. T. Boykett and K-T Howell, “The Multiplicative Automorphisms of a Finite Nearfield, with an Application”, Communications in Algebra 44 (2016), 2336–2350. https://doi.org/10.1080/00927872.2015.1044105

  8. D.S. Chistyakov and K-T Howell, “On the theory of near-vector spaces”, Journal of Mathematical Sciences 230:3 (2018), 484–487. https://doi.org/10.1007/s10958-018-3755-7

  9. D.S. Chistyakov and K-T Howell, “Affine Near-rings and related structures”, Mathematical Notes 19:2 (2018), 883 – 897. https://doi.org/10.1134/S000143461805036X

  10. S. Dorfling, K-T Howell and S.P. Sanon, “The decomposition of finite dimensional Near-vector spaces”, Communications in Algebra 46:7 (2018), 3033–3046. https://doi.org/10.1080/00927872.2017.1404083

  11. K-T Howell and S.P. Sanon, “Near-vector spaces constructed from near-domains”, Miskolc Mathematical Notes 19:2 (2018), 883–-897. https://doi.org/10.18514/MMN.2018.2186

  12. K-T Howell and S.P. Sanon, “On spanning sets and generators of Near-vector Spaces”, Turk J Math 42 (2018), 3232–3241. https://doi.org/10.3906/mat-1807-155

  13. K-T Howell and S.P. Sanon, “Linear mappings of near-vector spaces”, Quaestiones Mathematicae 41:4 (2018), 493–514. https://doi.org/10.2989/16073606.2017.1391352

  14. D. Chistyakov, K-T Howell and S.P. Sanon, “On representation theory and near-vector spaces”, Linear & Multilinear Algebra 67:7 (2019), 1495–1510. https://doi.org/10.1080/03081087.2018.1459449

  15. K-T Howell, “Near-vector spaces determined by finite fields and their fibrations “, Turk J Math 43 (2019), 2549–2560. https://doi.org/10.3906/mat-1905-110

  16. P. Djagba and K-T Howell, “The subspace structure of finite dimensional Beidleman near-vector spaces”, Linear & Multilinear Algebra, accepted, to appear. https://doi.org/10.1080/03081087.2019.1582610

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 Semirings. The 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.

  • \((\phi, \psi)\)-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.

  • The weird and wonderful world of Near-vector spaces. African Women in Mathmematics Conference at Stellenbosch University, July 2019.

ICT Orcid Identifier

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



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Arthur Brisbane