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arXiv · 2401.01976

On the construction of Cohn's universal localization

John A Beachy
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Abstract

For an associative ring we investigate a construction of Cohn's universal ring of fractions defined relative to a multiplicative set of matrices. The construction avoids the Ore condition, which is necessary to construct a ring of fractions relative to a multiplicative set of elements. But a similar condition, which we call the ``pseudo-Ore'' condition, plays an important role in the construction of Cohn's localization. We show that this condition in fact determines the equivalence relation used in the construction.

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John A Beachy. 2024-01-03. On the construction of Cohn's universal localization. https://doi.org/10.5281/zenodo.10428478

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