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Vladimir Dotsenko
Vladimir Dotsenko
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Here (see the very last paragraph) it is stated that every matrix with trace zero over a PID is a commutator. However, I can't come up with a proof right away; the only proof for matrices over a field that I remember (due to Albert?) does not immediately generalize.

Here (see the very last paragraph) it is stated that every matrix with trace zero over a PID is a commutator. However, the only proof for matrices over a field that I remember (due to Albert?) does not immediately generalize.

Here (see the very last paragraph) it is stated that every matrix with trace zero over a PID is a commutator. However, I can't come up with a proof right away; the only proof for matrices over a field that I remember (due to Albert?) does not immediately generalize.

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Vladimir Dotsenko
Vladimir Dotsenko
  • 16.9k
  • 1
  • 55
  • 114

Here (see the very last paragraph) it is stated that every matrix with trace zero over a PID is a commutator. However, the only proof for matrices over a field that I remember (due to Albert?) does not immediately generalize.