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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.

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Distinct orders dividing each other on both sides
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by Garrett Ervin PDF
Proc. Amer. Math. Soc. 147 (2019), 3729-3741 Request permission

Abstract:

We construct non-isomorphic linear orders $X$ and $Y$ that are both left-hand and right-hand divisors of one another, answering positively a question of Sierpiński.
References
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Additional Information
  • Garrett Ervin
  • Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
  • MR Author ID: 1213376
  • Email: gervin@andrew.cmu.edu
  • Received by editor(s): October 21, 2018
  • Received by editor(s) in revised form: December 24, 2018
  • Published electronically: April 18, 2019
  • Communicated by: Heike Mildenberger
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 3729-3741
  • MSC (2010): Primary 06A05, 03E05
  • DOI: https://doi.org/10.1090/proc/14527
  • MathSciNet review: 3993766