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Ore condition
In mathematics, the Ore condition in ring theory is a condition introduced by Ăystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or more general localization of a ring. The left Ore condition reads that for a ring R, and any pair a, b of non-zero elements, the sets aR and bR should intersect in more than the element 0.
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