Czasopismo
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Warianty tytułu
Języki publikacji
Abstrakty
A long-standing conjecture of Podewski states that every minimal field is algebraically closed. Known in positive characteristic, it remains wide open in characteristic zero. We reduce Podewski's conjecture to the (partially) ordered case, and we conjecture that such fields do not exist. We prove the conjecture in case the incomparability relation is transitive (the almost linear case).
We also study minimal groups with a (partial) order, and give a complete classification of almost linear minimal groups as certain valued groups.
We also study minimal groups with a (partial) order, and give a complete classification of almost linear minimal groups as certain valued groups.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
175-193
Opis fizyczny
Daty
wydano
2013
Twórcy
autor
- Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
autor
- Mathematical Institute SANU, Belgrade, Serbia
autor
- Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, UMR 5208, 43 bd du 11 novembre 1918, 69622 Villeurbanne Cedex, France
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm222-2-4