Open Access

Sums and products of intervals in ordered groups and fields

Tamás Glavosits

Tamás Glavosits

University of Miskolc, Department of Applied Mathematics
Search for this author on
Sciendo|Google Scholar
Glavosits, Tamás
 and 
Zsolt Karácsony

Zsolt Karácsony

University of Miskolc, Department of Applied Mathematics
Search for this author on
Sciendo|Google Scholar
Karácsony, Zsolt
  
Aug 26, 2021
Sums and products of intervals in ordered groups and fields's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Aug 26, 2021
Page range: 182 - 191
Received: Aug 03, 2020
DOI: https://doi.org/10.2478/ausm-2021-0010
Keywords
© 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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
Journal RSS Feed