NOTE ON GROUP IDENTITIES IN DIVISION RINGS

Date Issued
2004-07-31
Date
2004-07-31
Author(s)
Lee, P.H.
DOI
922115M002017
URI
Abstract
Let D be a division ring whose group of units satisfies a nontrivial group identity w. Let α be the sum of positive degrees of indeterminates occurring in w. If the center of D contains more than 3α elements, then D is commutative.
Subjects
division ring
group of units
group identity
polynomial identity
Publisher
臺北市：國立臺灣大學數學系暨研究所
Type
report
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