2 papers
math.RA2025
Multiplicative near-vector spaces
L. Boonzaaier, S. Marques, D. Moore
Near-vector spaces extend linear algebra tools to non-linear algebraic structures, enabling the study of non-linear problems. However, explicit constructions remain rare. This pape…
math.RA2025
A note on the transport of (near-)field structures
L. Boonzaaier, S. Marques
This paper addresses the question: given a scalar group, can we determine all the additions that transform this scalar group into a (near-)field? A key approach to addressing this…