83
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Linear mappings of near-vector spaces

&
Pages 493-514 | Received 02 Mar 2017, Published online: 08 Nov 2017

References

  • J. André, Lineare Algebra über Fastkörpern, Math. Z. 136 (1974), 295–313. doi: 10.1007/BF01213874
  • D.W. Blackett, The near-ring of affine transformations, Proc. Amer. Math. Soc. 7 (1956), 517–519. doi: 10.1090/S0002-9939-1956-0078651-X
  • G. Boxall, K-T. Howell and C. Kestner, Model Theory and the Construction of near-vector spaces, 2017, to be submitted.
  • T. Boykett, Distribution and generalized center in Planar Nearrings, 2016, to be submitted.
  • T. Boykett and K-T. Howell, The Multiplicative Automorphisms of a Finite Nearfield, with an Application, Communications in Algebra 44 (2016), 2336–2350. doi: 10.1080/00927872.2015.1044105
  • E.F. Brickell and D.M. Davenport, On the Classification of Ideal Secret Sharing Schemes, Journal of Cryptography 4 (1991), 123–134.
  • K-T. Howell, Contributions to the Theory of Near-Vector Spaces, Ph.D.- dissertation, University of the Free State, South Africa, 2008.
  • K-T. Howell, On subspaces and mappings of Near-vector spaces, Communications in Algebra 43(6) (2015), 2524–2540. doi: 10.1080/00927872.2014.900689
  • K-T. Howell and J.H. Meyer, Near-vector spaces determined by finite fields, Journal of Algebra 398 (2010), 55–62. doi: 10.1016/j.jalgebra.2013.09.019
  • 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. doi: 10.1080/00927870902855549
  • J.D.P. Meldrum, Near-rings and Their Links with Groups, Research Notes in Mathematics Vol. 134, Pitman, New York, 1985.
  • G. Pilz, Near-rings: The Theory and its Applications, Revised Edition, Mathematics studies Vol. 23, North Holland, New York, 1983.
  • A.P.J. van der Walt, Matrix near-rings contained in 2-primitive near-rings with minimal subgroups, J. Algebra 148 (1992), 296–304. doi: 10.1016/0021-8693(92)90195-R

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.