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Upper triangular matrix ring

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  • In this paper, we first give some characterizations of e-symmetric rings. We prove that R is an e-symmetric ring if and only if a1a2a3 = 0 implies that aσ(1)aσ(2)aσ(3)e = 0, where σ is any transformation of {1, 2, 3}. With the help of the Bott–Duffin inverse.

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