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Title:Characteristic, C-characteristic and positive cones in hyperfields
Authors:ID Kędzierski, Dawid Edmund (Author)
ID Linzi, Alessandro (Author)
ID Stojałowska, Hanna (Author)
Files:.pdf mathematics-11-00779.pdf (372,22 KB)
MD5: 7610CA859329AF340CBD4D8D83F590FD
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:We study the notions of positive cone, characteristic and C-characteristic in (Krasner) hyperfields. We show how these interact in order to produce interesting results in the theory of hyperfields. For instance, we give a criterion for deciding whether certain hyperfields cannot be obtained via Krasner's quotient construction. We prove that any positive integer (larger than 1) can be realized as the characteristic of some infinite hyperfield and an analogous result for C-characteristic. Finally, we study the (directed) graph associated to the strict partial order induced by a positive cone in a hyperfield in various examples.
Keywords:hyperfield, order, characteristic, positive cone
Publication date:01.01.2023
Year of publishing:2023
Number of pages:str. 1-20
Numbering:Vol. 11, iss. 3, [article no.] 779
PID:20.500.12556/RUNG-7930-e870ff7b-ef66-a2b7-1a6e-c8984c0ec1f3 New window
COBISS.SI-ID:141437443 New window
ISSN on article:2227-7390
DOI:10.3390/math11030779 New window
Publication date in RUNG:13.02.2023
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Shortened title:Mathematics
Publisher:MDPI AG
COBISS.SI-ID:523267865 New window


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:13.02.2023