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
@article{10_4153_CMB_1966_063_x,
author = {Kleiner, Israel},
title = {A {Counterexample} to a {Conjecture} of {D.F.} {Sanderson}},
journal = {Canadian mathematical bulletin},
pages = {517--517},
year = {1966},
volume = {9},
number = {4},
doi = {10.4153/CMB-1966-063-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-063-x/}
}
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