On k-Subspaces of L-vector-spaces |
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| Authors: | George M Bergman |
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| Institution: | Department of Mathematics , University of California , Berkeley , CA , 94720-3840 , USA E-mail: gbergman@math.berkeley.edu |
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| Abstract: | Let k ? L be division rings, with L: k]right <∞ and let Bk ? AL be right vector spaces. Conditions are established in terms of the k-codimension of B in A, respectively the k-dimension of B, for there to exist a nonzero element a∈A such that aL∪B={0}, respectively an L-linear functional f on A such that f(B). Some consequences and related open questions are discussed. |
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