Elements of reduced trace 0

S. A. Amitsur, Louis H. Rowen

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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.

Original languageEnglish
Pages (from-to)161-179
Number of pages19
JournalIsrael Journal of Mathematics
Issue number1-3
StatePublished - Feb 1994


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