Distinct orders dividing each other on both sides
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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