On Quotient Rings in Alternative Rings |
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| Authors: | Laura Artacho Cárdenas Jorge Ruiz Calviño |
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| Institution: | 1. Junta de Andalucia , Ceuta , Spain;2. Departamento de Matemática , Universidad de Cordoba , Córdoba , Spain |
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| 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. |
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| Keywords: | Left nonsingular alternative rings Maximal left quotient ring Von Neumann regularity |
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