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Transposed Triple Products and Pro-Symmetric Rings in $\ast$-Rings

Chen, Huaxi et al.
arXiv (All) · Papers
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rings-and-algebras
This paper investigates properties concerning transposed triple products in rings. Motivated by Cline's formula, we characterize symmetric rings by means of group invertible elements and EP elements. We prove that a unital ring $R$ is symmetric if and only if $abc\in R^{\sharp}$ implies $acb\in R^{\
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