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On Common Multiples of Transfinite Numbers

Published online by Cambridge University Press:  20 November 2018

Elias Zakon
Elias Zakon*
Affiliation:
Assumption University of Windsor
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In his well known monograph [l] (p. 81) H. Bachmann indicates that two ordinal numbers > 1 always have a common left multiple > 1, but not always have a right multiple (RM). The monograph does not, however, contain any further analysis of right multiples. The purpose of the present note is to supplement this by formulating the following propositions which, despite their simplicity, seem not yet to be known.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 1 , 01 January 1960 , pp. 31 - 33
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Bachmann, H., Transfinite Zahlen, (Berlin, 1955).Google Scholar
2. Zakon, E., On the relation of "similarity" between transfinite numbers, Mathematical Quarterly, Jerusalem, 7 (1953). English summary quoted in Math. Reviews, 15(1954), 409.Google Scholar