Characteristic, C-characteristic and positive cones in hyperfieldsKędzierski, Dawid Edmund (Avtor)
Linzi, Alessandro (Avtor)
Stojałowska, Hanna (Avtor)
hyperfieldordercharacteristicpositive coneWe 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.20232023-02-13 10:18:08Neznano7930COBISS_ID: 141437443UDK: 51ISSN pri članku: 2227-7390DOI: 10.3390/math11030779NUK URN: URN:SI:UNG:REP:8C58FBGKsl