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\(N\) – real fields

\(N\) – real fields

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 ( \(AA^t\) ) = 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...

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Bibliographic Details
Main Author: Feigelstock, Shalom
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
\(n\)-real
\(n\)-real closed
12D15
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/961
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