Methods of constructing hyperfields
In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient KG of a field K by some subgroup G of its multiplicative group.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000813 |
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| _version_ | 1850229412276994048 |
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| author | Ch. G. Massouros |
| author_facet | Ch. G. Massouros |
| author_sort | Ch. G. Massouros |
| collection | DOAJ |
| description | In this paper we introduce a class of hyperfields which contains non quotient
hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient KG of a field K by some subgroup G of its multiplicative group. |
| format | Article |
| id | doaj-art-1fa1c9df76f0481f94c2bdb020a747e4 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1fa1c9df76f0481f94c2bdb020a747e42025-08-20T02:04:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018472572810.1155/S0161171285000813Methods of constructing hyperfieldsCh. G. Massouros054 Klious St. Cholargos, Athens TK 155–61, GreeceIn this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient KG of a field K by some subgroup G of its multiplicative group.http://dx.doi.org/10.1155/S0161171285000813 |
| spellingShingle | Ch. G. Massouros Methods of constructing hyperfields International Journal of Mathematics and Mathematical Sciences |
| title | Methods of constructing hyperfields |
| title_full | Methods of constructing hyperfields |
| title_fullStr | Methods of constructing hyperfields |
| title_full_unstemmed | Methods of constructing hyperfields |
| title_short | Methods of constructing hyperfields |
| title_sort | methods of constructing hyperfields |
| url | http://dx.doi.org/10.1155/S0161171285000813 |
| work_keys_str_mv | AT chgmassouros methodsofconstructinghyperfields |