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arxiv: 0806.3013 · v1 · submitted 2008-06-18 · 🧮 math.RA

Two-sided localizations of bimodules

classification 🧮 math.RA
keywords bimodulesidealsfilterslocalizationringtwo-sidedbicategoryconvenient
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We extend to bimodules Schelter's localization of a ring with respect to Gabriel filters of left and right ideals. Our two-sided localization of bimodules provides an endofunctor on a convenient bicategory of rings with filters of ideals. This is used to study the Picard group of a ring relative to a filter of ideals.

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