Separating subspaces of skewfields
type: Item
instance of: scholarly article
title: Separating subspaces of skewfields
zbMATH Open document ID: 0829.12001
DOI: 10.1007/BF03322246
author: Hubert Kiechle
published in: Results in Mathematics
publication date: 1996-01-22T00:00:00Z
review text: Let \(L\) be a skew field with a central subfield \(K\) and let \(\dim_KL=n\). The author proves that if \(A\) and \(B\) are nonzero subspaces of the \(K\)-vector space \(L\) and \(\dim A+\dim B\leq n\), then there exists \(x\) in \(L^*\) such that \(xA\cap B=0\).
Mathematics Subject Classification ID: 12E15
Mathematics Subject Classification ID: 16K99
zbMATH DE Number: 792562
zbMATH Keywords: skew field
zbMATH Keywords: central subfield
reviewed by: Andrzej Sładek
MaRDI profile type: Publication
cites work: Q4002797
cites work: Q4771357
description: scientific article; zbMATH DE number 792562