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Criteria for a ring to have a left Noetherian left quotient ring

2015/08/16 by V. V. Bavula, Bavula, V. V.
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1508.03798

16 pages

arxiv created 2015/08/16 · arxiv updated 2015/08/18

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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