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http://hdl.handle.net/123456789/64
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DC Field | Value | Language |
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dc.contributor.author | Feigelstock, Shalom | - |
dc.date.accessioned | 2015-10-20T11:54:24Z | - |
dc.date.available | 2015-10-20T11:54:24Z | - |
dc.date.issued | 2003-03-03 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/64 | - |
dc.description | A field F is n-real if −1 is not the sum of n squares in F. It is shown that a field F is m-real if and only if rank (AAt) = rank (A) for every n × m matrix A with entries from F. An n-real field F is n-real closed if every proper algebraic extension of F is not n-real. It is shown that if a 3-real field F is 2-real closed, then F is a real closed field. For F a quadratic extension of the field of rational numbers, the greatest integer n such that F is n-real is determined | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | Луганский национальный университет им. Т. Шевченко | uk_UA |
dc.title | N – real fields | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
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adm-n3-1.pdf | 123.83 kB | Adobe PDF | View/Open |
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