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- W2109445193 abstract "We introduce a notion of left nonsingularity for alternative rings and prove that an alternative ring is left nonsingular if and only if every essential left ideal is dense, if and only if its maximal left quotient ring is von Neumann regular (a Johnson-like Theorem). Finally, we obtain a Gabriel-like Theorem for alternative rings." @default.
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- W2109445193 date "2014-06-09" @default.
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- W2109445193 title "On Quotient Rings in Alternative Rings" @default.
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- W2109445193 doi "https://doi.org/10.1080/00927872.2012.675111" @default.
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