Two-Sided Localization of Bimodules

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Two-sided Localization of Bimodules

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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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2008

ISSN: 0092-7872,1532-4125

DOI: 10.1080/00927870801941572