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چکیده
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Let R and S be rings with identity, M be a unitary (R, S)-bimodule, and T = ⎛ ⎝R M 0 S ⎞ ⎠ be the upper triangular matrix ring determined by R, S and M. Let Eij be the standard matrix unit. In this paper we show that every biderivation of T is decomposed into the sum of three biderivations D, and , where D(E11, E11) = 0, is an extremal biderivation and is a special kind of biderivation. Using this characterization,we determine the structure of biderivations of the ring Tn(R)(n 2) of all n × n upper triangular matrices over R, and show that in the special case when R is a noncommutative prime ring, every biderivation of Tn(R) is inner. This extends some results of Benkoviˇc (2009) [1].
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