Toward an intuitive understanding of the structure of near-vector spaces
COMMUNICATIONS IN ALGEBRA(2022)
摘要
In this article we analyze the definition Andre 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.
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关键词
Near-vector spaces, nearrings, nearfields, division rings, span, subspaces, linear a plus lgebra
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