Characteristic, C-characteristic and positive cones in hyperfields
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.
2023
2023-02-13 10:18:08
1033
hyperfield, order, characteristic, positive cone
Dawid Edmund
Kędzierski
70
Alessandro
Linzi
70
Hanna
Stojałowska
70
COBISS_ID
3
141437443
UDK
4
51
ISSN pri članku
9
2227-7390
DOI
15
10.3390/math11030779
NUK URN
18
URN:SI:UNG:REP:8C58FBGK
mathematics-11-00779.pdf
381153
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