Form equivalence class Howard-Rubin Number: 67
Statement: \(\exists F\) AL21\((F)\): There is a field \(F\) such thatevery vector space over \(F\) has the property that for every subspace \(S\)of \(V\), there is a subspace \(S'\) of \(V\) such that \(S \cap S' = \{ 0 \}\)and \(S \cup S'\) generates \(V\) in other words such that \(V = S \oplus S'\).Bleicher [1964], Rubin, H.\/Rubin, J. [1985, pp.122,123, theorems 6.35 and 6.36].
Howard-Rubin number: 67 AD
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