A Cubic Set Theoretical Approach to Linear Space

Abstract EN

The main motivation of this paper is to introduce the notion of cubic linear space.

This inspiration is received from the structure of cubic sets.

The notions of R-intersection, R-union, P-intersection, and P-union of cubic linear spaces are defined and we provide some results on these.

We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them.