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Trace identities of the algebra of triangular matrices. (Russian) Zbl 0654.16013

Let \(T_ n(K)\) be the algebra of upper triangular \(n\times n\) matrices over a field K. The author proves that the ideal of trace identities of \(T_ n(K)\) is finitely generated, so that every trace identity of \(T_ n(K)\) is a consequence of certain basic trace identities \(f_ 1,f_ 2,...,f_ m\). The author computes the identities \(f_ 1,...,f_ m\).
Reviewer: Yu.N.Mal’tsev

MSC:

16Rxx Rings with polynomial identity
16S50 Endomorphism rings; matrix rings
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