Boonzaaier, L., Howell, K.-T. and Sanon, S. (2009) An Application of Finite-Dimensional Near-Vector Spaces over Fields of Prime Order in a Finite Linear Game.

has been cited by the following article:

• TITLE: Near-Vector Spaces Constructed over Zp, for p a Prime

  AUTHORS: Kelone Tefoetsile, Jeromy Kalunga, Mathews Zimba, James Muchinga, Saviour Chibeti, Henry M. Phiri

  KEYWORDS: Vector Spaces, Near Vector Spaces, Regularity, Compatibility, Fields, Near-Fields, F-Group and Quasi-Kernel

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.1, January 28, 2023

  ABSTRACT: The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Zp for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we focus on those studied by André [1]. These near-vector spaces have recently proven to be very useful in finite linear games. We will discuss the construction and properties, give examples of these near-vector spaces and give its application in finite linear games.