Elements of reduced trace 0

S. A. Amitsur; Louis H. Rowen

doi:10.1007/bf02772992

Elements of reduced trace 0

S. A. Amitsur, Louis H. Rowen

Department of Mathematics

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Every element r of reduced trace 0 in a simple finite dimensional algebra R is a sum of at most 2 commutators. If R in not a division ring then r is a commutator, unless r is a scalar (in which case char(R)≠0). The method of proof provides a generic division algebra of transcendence degree n²-1.

Original language	English
Pages (from-to)	161-179
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	87
Issue number	1-3
DOIs	https://doi.org/10.1007/bf02772992
State	Published - Feb 1994

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abstract = "Every element r of reduced trace 0 in a simple finite dimensional algebra R is a sum of at most 2 commutators. If R in not a division ring then r is a commutator, unless r is a scalar (in which case char(R)≠0). The method of proof provides a generic division algebra of transcendence degree n 2-1.",

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Elements of reduced trace 0

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