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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1973 Volume 37, Issue 3, Pages 483–501 (Mi im2275)

This article is cited in 34 papers

On a problem of Kaplanskii

Yu. P. Razmyslov


Abstract: 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.

UDC: 519.4

MSC: Primary 16A42; Secondary 16A68, 17B45

Received: 12.05.1972


 English version:
Mathematics of the USSR-Izvestiya, 1973, 7:3, 479–496

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© Steklov Math. Inst. of RAS, 2026