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arXiv · 1106.0913

Square-Free Rings With Local Units

Martin Montgomery
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Abstract

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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Martin Montgomery. 2011-06-05. Square-Free Rings With Local Units. https://arxiv.org/abs/1106.0913

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