On the number of near-vector spaces determined by finite fields

TL;DR

This paper provides a new characterization of near-vector spaces over finite fields and determines the exact number of such spaces up to isomorphism, enhancing understanding of their structure.

Contribution

It introduces a novel characterization of near-vector spaces over finite fields and calculates their count up to isomorphism.

Findings

New characterization of near-vector spaces over finite fields

Exact enumeration of these spaces up to isomorphism

Abstract

A slip on a paper concerning near-vector spaces is fixed. New characterization of near-vector spaces determined by finite fields is provided and the number (up to the isomorphism) of these spaces is exhibited.