Criteria for a ring to have a left Noetherian left quotient ring
classification
🧮 math.RA
keywords
leftringcriterianoetherianquotientdenominatorfinitelygiven
read the original abstract
Two criteria are given for a ring to have a left Noetherian left quotient ring (this was an open problem since 70's). It is proved that each such ring has only finitely many maximal left denominator sets.
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