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Unrelativized Standard Commutator Formula

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In the present note, which is a marginalia to the previous papers by Roozbeh Hazrat, Alexei Stepanov, Zuhong Zhang, and the author, I observe that for any ideals A,B≤R of a commutative ring R and all n ≥ 3 the birelative standard commutator formula also holds in the unrelativized form, as [E(n,A),GL(n,B)] = [E(n,A),E(n,B)] and discuss some obvious corollaries thereof.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    N. A. Vavilov

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  1. N. A. Vavilov
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Correspondence to N. A. Vavilov.

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Nikt nic nie czyta, a jeśli czyta, to nic nie rozumie, a jeśli nawet rozumie, to nic nie pamięta. Stanis law Lem

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 470, 2018, pp. 38–49.

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Vavilov, N.A. Unrelativized Standard Commutator Formula. J Math Sci 243, 527–534 (2019). https://doi.org/10.1007/s10958-019-04554-w

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