Statement:
(Where \(p\) is a prime) \(AL21\)\((p)\): Every vector space over \(\mathbb Z_p\) 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 \(V = S \oplus S'\). Rubin, H./Rubin, J [1985], p.119, AL21.
Howard_Rubin_Number: 430-p
Parameter(s): This form depends on the following parameter(s): \(p\),
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Bleicher-1964: Some theorems on vector spaces and the axiom of choice
Book references
Equivalents of the Axiom of Choice II, Rubin, J., 1985
Note connections: