Two-sided localizations of bimodules

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

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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