Roots and factors of ordinals
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- by Philip W. Carruth
- Proc. Amer. Math. Soc. 1 (1950), 470-480
- DOI: https://doi.org/10.1090/S0002-9939-1950-0036807-0
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Erratum: Proc. Amer. Math. Soc. 1 (1950), 826.
References
- Ernst Jacobsthal, Über den Aufbau der transfiniten Arithmetik, Math. Ann. 66 (1908), no. 2, 145–194 (German). MR 1511496, DOI 10.1007/BF01450583
- Ernst Jacobsthal, Zur Arithmetik der transfiniten Zahlen, Math. Ann. 67 (1909), no. 1, 130–144 (German). MR 1511524, DOI 10.1007/BF01451874
- Seymour Sherman, Some new properties of transfinite ordinals, Bull. Amer. Math. Soc. 47 (1941), 111–116. MR 3688, DOI 10.1090/S0002-9904-1941-07378-7 F. Sieczka, Sur l’unicité de la décomposition de nombres ordinaux en facteurs irreductibles, Fund. Math. vol. 5 (1924) pp. 172-175. W. Sierpiński, Leçons sur les nombres transfinis, Paris, 1928. —, A property of ordinal numbers, Bull. Calcutta Math. Soc. vol. 20 (1930) pp. 21-22.
Bibliographic Information
- © Copyright 1950 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 1 (1950), 470-480
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9939-1950-0036807-0
- MathSciNet review: 0036807