Geodesic
On a~problem of Kaplanskii
Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 479-496

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In this article we construct for any natural number $n$ an associative multilinear polynomial whose values on matrices of order $n$ are scalar matrices at least one of which is nonzero. 
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     author = {Yu. P. Razmyslov},
     title = {On a~problem of {Kaplanskii}},
     journal = {Izvestiya. Mathematics },
     pages = {479--496},
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     volume = {7},
     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a0/}
}
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Yu. P. Razmyslov. On a~problem of Kaplanskii. Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 479-496. http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a0/