Toward an intuitive understanding of the structure of near-vector spaces

2019/12/13 by Howell, Karin-Therese, Marques, Sophie · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1912.06674

Abstract

In this paper, we analyze the definition André proposed for near-vector spaces to make it more transparent. We also study the class of near-vector spaces over division rings and give a characterization of regularity that gives a new insight into the decomposition of near-vector spaces into regular subspaces. We explicitly describe span and deduce a new characterization of subspaces.

Cited by

• Inner products for strongly regular near-vector spaces and duality for finite dimensional near-vector spaces

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• Distributive decomposition of near-vector spaces
• Near-linear algebra
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