Author(s)

Kelone Tefoetsile^1*, Jeromy Kalunga², Mathews Zimba², James Muchinga³, Saviour Chibeti⁴, Henry M. Phiri⁴

¹Department of Mathematics and Statistical Sciences, Bostwana International University of Science and Technology, Palaype, Botswana.
²Department of Mathematics, Copperbelt University, Kitwe, Zambia.
³Departrment of Natural Science, Levy Mwanawasa Medical University, Lusaka, Zambia.
⁴Economics Department, University of Lusaka, Lusaka, Zambia.

The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Z_p 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.

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

Tefoetsile, K. , Kalunga, J. , Zimba, M. , Muchinga, J. , Chibeti, S. and M. Phiri, H. (2023) Near-Vector Spaces Constructed over Z_p, for p a Prime. Advances in Pure Mathematics, 13, 11-33. doi: 10.4236/apm.2023.131002.