The decomposition of finite-dimensional near-vector spaces

ABSTRACT

In this paper, we study the decomposition of certain classes of finite-dimensional near-vector spaces, constructed using a result of van der Walt. We derive a formula for calculating the cardinality of the quasi-kernel for certain constructions and we associate a graph with each near-vector space, the regularity graph.

KEYWORDS:

• Category theory of near-vector spaces
• field
• near-field
• near-vector space decomposition
• near-vector space
• vector space

2000 MATHEMATICS SUBJECT CLASSIFICATION:

• 16Y30
• 12K05