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UPA Perpustakaan Universitas Jember

Commuting traces of upper triangular matrix rings

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Let Tn(R) be the upper triangular matrix ring over a unital ring R. Suppose that
B : Tn(R) × Tn(R) → Tn(R) is a biadditive map such that B(X, X)X = XB(X, X) for all
X ∈ Tn(R). We consider the problem of describing the form of the map X → B(X, X).

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