| Title: | Characteristic, C-characteristic and positive cones in hyperfields |
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| Authors: | ID Kędzierski, Dawid Edmund (Author)
ID Linzi, Alessandro (Author)
ID Stojałowska, Hanna (Author) |
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| Files: |  mathematics-11-00779.pdf (372,22 KB)
MD5: 7610CA859329AF340CBD4D8D83F590FD
 https://www.mdpi.com/2227-7390/11/3/779
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | hyperfield, order, characteristic, positive cone |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 1-20 |
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| Numbering: | Vol. 11, iss. 3, [article no.] 779 |
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| PID: | 20.500.12556/RUNG-7930-e870ff7b-ef66-a2b7-1a6e-c8984c0ec1f3  |
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| COBISS.SI-ID: | 141437443 |
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| UDC: | 51 |
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| ISSN on article: | 2227-7390 |
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| DOI: | 10.3390/math11030779 |
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| NUK URN: | URN:SI:UNG:REP:8C58FBGK |
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| Publication date in RUNG: | 13.02.2023 |
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| Views: | 991 |
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| Downloads: | 3 |
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