Elementary geometric local-global principles for fields
| dc.contributor.author | Fehm, Arno | |
| dc.date.accessioned | 2013-06-21T12:14:05Z | deu |
| dc.date.available | 2013-06-21T12:14:05Z | deu |
| dc.date.issued | 2013 | |
| dc.description.abstract | We define and investigate a family of local–global principles for fields involving both orderings and p-valuations. This family contains the PAC, PRC and PpC fields and exhausts the class of pseudo classically closed fields. We show that the fields satisfying such a local–global principle form an elementary class, admit diophantine definitions of holomorphy domains, and their orderings satisfy the strong approximation property. | eng |
| dc.description.version | published | |
| dc.identifier.citation | Annals of Pure and Applied Logic ; 164 (2013), 10. - S. 989-1008 | deu |
| dc.identifier.doi | 10.1016/j.apal.2013.05.003 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/23511 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-06-21 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | Local-global principle | deu |
| dc.subject | Diophantine definability | deu |
| dc.subject | PRC | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.msc | 14G05; 12E30; 12L12; 12J12 | deu |
| dc.title | Elementary geometric local-global principles for fields | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Fehm2013Eleme-23511,
year={2013},
doi={10.1016/j.apal.2013.05.003},
title={Elementary geometric local-global principles for fields},
number={10},
volume={164},
issn={0168-0072},
journal={Annals of Pure and Applied Logic},
pages={989--1008},
author={Fehm, Arno}
} | |
| kops.citation.iso690 | FEHM, Arno, 2013. Elementary geometric local-global principles for fields. In: Annals of Pure and Applied Logic. 2013, 164(10), pp. 989-1008. ISSN 0168-0072. eISSN 0168-0072. Available under: doi: 10.1016/j.apal.2013.05.003 | deu |
| kops.citation.iso690 | FEHM, Arno, 2013. Elementary geometric local-global principles for fields. In: Annals of Pure and Applied Logic. 2013, 164(10), pp. 989-1008. ISSN 0168-0072. eISSN 0168-0072. Available under: doi: 10.1016/j.apal.2013.05.003 | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-235112 | deu |
| kops.sourcefield | Annals of Pure and Applied Logic. 2013, <b>164</b>(10), pp. 989-1008. ISSN 0168-0072. eISSN 0168-0072. Available under: doi: 10.1016/j.apal.2013.05.003 | deu |
| kops.sourcefield.plain | Annals of Pure and Applied Logic. 2013, 164(10), pp. 989-1008. ISSN 0168-0072. eISSN 0168-0072. Available under: doi: 10.1016/j.apal.2013.05.003 | deu |
| kops.sourcefield.plain | Annals of Pure and Applied Logic. 2013, 164(10), pp. 989-1008. ISSN 0168-0072. eISSN 0168-0072. Available under: doi: 10.1016/j.apal.2013.05.003 | eng |
| kops.submitter.email | madeline.kreissner@uni-konstanz.de | deu |
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| source.identifier.issn | 0168-0072 | |
| source.periodicalTitle | Annals of Pure and Applied Logic |
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