  In this short note, we complete a proof of Bergman's centralizer theorem for
the free associative algebra using generic matrices approach based on our
previous work Alexei Kanel Belov, Farrokh Razavinia, Wenchao Zhang, "Bergman's
Centralizer Theorem and quantization", 10 pp., Quantum Algebra (math.QA),
16R50, 13A99, 53D55, Comm. in Algebra, 46:5 (2018), 2123-2129, arXiv:
1708.04802
