Sums and products of intervals in ordered groups and fields
und | 26. Aug. 2021
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Online veröffentlicht: 26. Aug. 2021
Seitenbereich: 182 - 191
Eingereicht: 03. Aug. 2020
DOI: https://doi.org/10.2478/ausm-2021-0010
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© 2021 Tamás Glavosits et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
We show that the sum of two intervals in an ordered dense Abelian group is also an interval such that the endpoints of the sum are equal to the sums of the endpoints. We prove analogous statements concerning to the product of two intervals.