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Elements of reduced trace 0

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Abstract

Every elementr of reduced trace 0 in a simple finite dimensional algebraR is a sum of at most 2 commutators. IfR innot a division ring thenr is a commutator, unlessr is a scalar (in which case char(R)≠0). The method of proof provides a generic division algebra of transcendence degreen 2−1.

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Authors and Affiliations

  1. Department of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    S. A. Amitsur

  2. Department of Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel

    Louis H. Rowen

Authors
  1. S. A. Amitsur
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  2. Louis H. Rowen
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Amitsur, S.A., Rowen, L.H. Elements of reduced trace 0. Israel J. Math. 87, 161–179 (1994). https://doi.org/10.1007/BF02772992

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  • DOI: https://doi.org/10.1007/BF02772992

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