Centralizers in Free Associative Algebras and Generic Matrices
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Publication:6310905
DOI10.1007/S00009-023-02305-5zbMATH Open1520.16023arXiv1812.03307MaRDI QIDQ6310905
Wenchao Zhang, Farrokh Razavinia, Alexei Kanel-Belov
Publication date: 8 December 2018
Abstract: 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
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Trace rings and invariant theory (associative rings and algebras) (16R30) Deformation quantization, star products (53D55) General commutative ring theory (13A99)
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