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Commuting traces of upper triangular matrix rings

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Abstract

Let \(T_n(R)\) be the upper triangular matrix ring over a unital ring R. Suppose that \(B:T_n(R)\times T_n(R) \rightarrow T_n(R)\) is a biadditive map such that \(B(X,X)X = XB(X,X)\) for all \(X \in T_n(R)\). We consider the problem of describing the form of the map \(X\mapsto B(X,X)\).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, FNM, University of Maribor, 2000, Maribor, Slovenia

    Daniel Eremita

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  1. Daniel Eremita
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Correspondence to Daniel Eremita.

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Eremita, D. Commuting traces of upper triangular matrix rings. Aequat. Math. 91, 563–578 (2017). https://doi.org/10.1007/s00010-016-0462-7

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  • DOI: https://doi.org/10.1007/s00010-016-0462-7

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