Geodesic
Unrelativised standard commutator formula
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 38-49

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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 $A,B\unlhd R$ of a commutative ring $R$ and all $n\ge3$ the birelative standard commutator formula also holds in the unrelativised form, as $[E(n,A),\mathrm{GL}(n,B)]=[E(n,A),E(n,B)]$ and discuss some obvious corollaries thereof. 
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     author = {N. Vavilov},
     title = {Unrelativised standard commutator formula},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a2/}
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N. Vavilov. Unrelativised standard commutator formula. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 38-49. http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a2/