Sums and products of intervals in ordered groups and fields
By:
Abstract
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.
DOI: https://doi.org/10.2478/ausm-2021-0010 | Journal eISSN: 2066-7752
Language: English
Page range: 182 - 191
Submitted on: Aug 3, 2020
Published on: Aug 26, 2021
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2021 Tamás Glavosits, Zsolt Karácsony, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.