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Bases in vector spaces and the axiom of choice
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Proc. Amer. Math. Soc. 17 (1966), 670-673

DOI: https://doi.org/10.1090/S0002-9939-1966-0194340-1

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References

M. N. Bleicher, Some theorems on vector spaces and the axiom of choice, Fund. Math. 54 (1964), 95–107. MR 164899, DOI 10.4064/fm-54-1-95-107

Combinatorial mathematics

James D. Halpern, Bases in vector spaces and the axiom of choice, Proc. Amer. Math. Soc. 17 (1966), 670–673. MR 194340, DOI 10.1090/S0002-9939-1966-0194340-1
J. D. Halpern, The independence of the axiom of choice from the Boolean prime ideal theorem, Fund. Math. 55 (1964), 57–66. MR 164891, DOI 10.4064/fm-55-1-57-66
Leon Henkin, Some interconnections between modern algebra and mathematical logic, Trans. Amer. Math. Soc. 74 (1953), 410–427. MR 55287, DOI 10.1090/S0002-9947-1953-0055287-X
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