Geodesic
A Counterexample to a Conjecture of D.F. Sanderson
Canadian mathematical bulletin, Tome 9 (1966) no. 4, p. 517

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In [2, p. 511] Sanderson has shown that if every Large left ideal of a ring R with identity contains a regular element, and if the regular elements in R satisfy Ore's condition, then the complete (Utumi's) ring of quotients coincides with the classical ring of quotients. He conjectured that the above conditions are also necessary. The following is a counter example. 
Kleiner, Israel. A Counterexample to a Conjecture of D.F. Sanderson. Canadian mathematical bulletin, Tome 9 (1966) no. 4, p. 517. doi: 10.4153/CMB-1966-063-x
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[1] 1. Lambek, J., Lectures on rings and modules. Blaisdell, New York, (1966). Google Scholar

[2] 2. Sanderson, D.F., A generalization of divisibility and injectivity in modules, Can. Math. Bull. 8, (1965), 505-513. Google Scholar

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