On C-commuting graph of matrix algebra

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P. Raja
S. M. Vaezpour


Let D be a division ring, n 2 a natural number, and C ⊆ Mn(D). Two matrices A
and B are called C−commuting if there is C ∈ C that AB−BA = C. In this paper the C−commuting graph of Mn(D)is defined and denoted by ΓC(Mn(D)). Conditions are given that guarantee that the C−commuting graph is connected.

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