In this paper we study the quasi-kernel of certain constructions of near-vector spaces and the span of a vector. We characterize those vectors whose span is one-dimensional and those that generate the whole space.
Field, nearfield, vector space, near-vector space
HOWELL, KARIN-THERESE and SANON, SOGO PIERRE
"On spanning sets and generators of near-vector spaces,"
Turkish Journal of Mathematics: Vol. 42:
6, Article 32.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/32