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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