Square-Free Rings With Local Units
classification
🧮 math.RA
keywords
square-freeringsartinianlocalresultsunitsalgebraassociated
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Recently, the author characterized all artinian square-free rings with identity. Here, those results are extended to the setting of rings with local units. We use this characterization of square-free rings to derive many results similar to the artinian case and to determine, in cohomological terms, exactly when a square-free ring has an associated square-free algebra structure.
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