# Study of a division-like property

@inproceedings{Khanfir2022StudyOA, title={Study of a division-like property}, author={Robin Khanfir and B'eranger Seguin}, year={2022} }

We introduce a weak division-like property for noncommutative rings: a nontrivial ring is fadelian if for all nonzero a, x there exist b, c such that x = ab + ca . We prove properties of fadelian rings, and construct examples of such rings which are not division rings, as well as non-Noetherian and non-Ore examples. ZFC rings in (we We conclude by completeness that

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