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- W1962739643 abstract "A new class of rings, the class of left localizable rings, is introduced. A ring $R$ is left localizable if each nonzero element of $R$ is invertible in some left localization $S^{-1}R$ of the ring $R$. Explicit criteria are given for a ring to be a left localizable ring provided the ring has only finitely many maximal left denominator sets (eg, this is the case if a ring has a left Artinian left quotient ring). It is proved that a ring with finitely many maximal left denominator sets is a left localizable ring iff its left quotient ring is a direct product of finitely many division rings. A characterization is given of the class of rings that are finite direct product of left localization maximal rings." @default.
- W1962739643 created "2016-06-24" @default.
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- W1962739643 date "2014-05-18" @default.
- W1962739643 modified "2023-10-16" @default.
- W1962739643 title "Left localizable rings and their characterizations" @default.
- W1962739643 cites W1983635233 @default.
- W1962739643 doi "https://doi.org/10.48550/arxiv.1405.4552" @default.
- W1962739643 hasPublicationYear "2014" @default.
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