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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The axiom of choice for finite sets
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by R. L. Blair and M. L. Tomber PDF
Proc. Amer. Math. Soc. 11 (1960), 222-226 Request permission
References
    N. Bourbaki, Sur le théorème de Zorn, Arch. Math. vol. 2 (1949-1950) pp. 434-437. L. A. Henkin, Metamathematical theorems equivalent to the prime ideal theorems for Boolean algebras, Bull. Amer. Math. Soc. Abstract 60-4-553. J. Łoś and C. Ryll-Nardzewski, Effectiveness of the representation theory for Boolean algebras, Fund. Math. vol. 41 (1954) pp. 49-56. A. Mostowski, Über die Unabhängigkeit des Wohlordnungssatzes vom Ordnungsprinzip, Fund. Math. vol. 32 (1939) pp. 201-252. —, Axiom of choice for finite sets, Fund. Math. vol. 33 (1945) pp. 137-168. D. Scott, The theorem on maximal ideals in lattices and the axiom of choice, Bull. Amer. Math. Soc. Abstract 60-1-172. W. Sierpinski, L’axiome du choix pour les ensembles finis, Matematiche, Catania vol. 10 (1955) pp. 92-99. Wanda Szmielew, On choices from finite sets, Fund. Math. vol. 34 (1947) pp. 75-80. A. Tarski, Sur les ensembles finis, Fund. Math. vol. 6 (1924) pp. 45-95. —, Prime ideal theorems for Boolean algebras and the axiom of choice, Bull. Amer. Math. Soc. Abstract 60-4-562.
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Additional Information
  • © Copyright 1960 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 11 (1960), 222-226
  • MSC: Primary 06.00; Secondary 04.00
  • DOI: https://doi.org/10.1090/S0002-9939-1960-0120169-0
  • MathSciNet review: 0120169