A Counterexample to a Conjecture of D.F. Sanderson
1966 ◽
Vol 9
(4)
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pp. 517-517
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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.
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1986 ◽
Vol 28
(2)
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pp. 181-191
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1971 ◽
Vol 14
(4)
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pp. 517-529
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1984 ◽
Vol 25
(1)
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pp. 1-5
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1983 ◽
Vol 24
(1)
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pp. 53-64
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1972 ◽
Vol 24
(6)
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pp. 1122-1128
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