Form equivalence class Howard-Rubin Number: 1

Statement:

For every Abelian group \((G,+)\), for every \(H \subseteq G\), the infinite system of equations \[x_i + y_i = a_i,\ i\in I,\ a_i\in G\] has a solution in \(H\) iff each of its equations has a solution in \(H\).

Howard-Rubin number: 1 BS

Citations (articles): Keremedis [1996b] Some equivalents of \(AC\) in algebra

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