Geodesic
Trace identities of full matrix algebras over a~field of characteristic zero
Izvestiya. Mathematics , Tome 8 (1974) no. 4, pp. 727-760

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In this paper we consider the trace identities satisfied in a full matrix algebra of order $n$. For the case of a field of characteristic zero we prove that all trace identities are consequences of one obtained from the Hamilton–Cayley theorem. 
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     author = {Yu. P. Razmyslov},
     title = {Trace identities of full matrix algebras over a~field of characteristic zero},
     journal = {Izvestiya. Mathematics },
     pages = {727--760},
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     volume = {8},
     number = {4},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/}
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Yu. P. Razmyslov. Trace identities of full matrix algebras over a~field of characteristic zero. Izvestiya. Mathematics , Tome 8 (1974) no. 4, pp. 727-760. http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/