On Subspaces and Mappings of Near-vector Spaces

REFERENCES

• Allenby , R. B. J. T. ( 1991 ). Rings, Fields and Groups. , 2nd ed. , Butterworth Heineman .
   Google Scholar
• André , J. ( 1974 ). Lineare algebra über Fastkörpern . Math. Zeit. 136 : 295 – 313 .
   Web of Science ®Google Scholar
• Burton , D. M. ( 2007 ). Elementary Number Theory. , 6th ed. , McGraw-Hill .
   Google Scholar
• Howell , K.-T. (2008). Contributions to the Theory of Near-Vector Spaces, Ph.D.-dissertation, University of the Free State Bloemfontein.
   Google Scholar
• Howell , K.-T. , Meyer , J. H. ( 2010 ). Finite dimensional near-vector spaces over finite fields . Communications in Algebra 38 : 86 – 93 .
   Web of Science ®Google Scholar
• Howell , K.-T. , Meyer , J. H. ( 2011 ). Near-vector spaces determined by finite fields. Submitted .
   Google Scholar
• Meldrum , J. D. P. ( 1985 ). Near-Rings and Their Links with Groups . Vol. 134 , New York : Pitman, Advanced Publishing Program .
   Google Scholar
• Pilz , G. ( 1983 ). Near-rings: The Theory and Its Applications, Revised Edition. Vol. 23 , New York : North Holland, Mathematics Studies .
   Google Scholar
• van der Walt , A. P. J. ( 1989 ). Near-linear transformations of near-vector spaces. Proceedings of a Conference held at Oberwolfach, 5–11 Nov. (ed. G. Betsch, G. Pilz, H. Wefelscheid), Univ. of Duisburg (1995), pp. 189–193 .
   Google Scholar
• van der Walt , A. P. J. ( 1992 ). Matrix near-rings contained in 2-primitive near-rings with minimal subgroups . J. Algebra 148 : 296 – 304 .
   Web of Science ®Google Scholar
• Communicated by V. Gould.
   Google Scholar