English

Two-sided localizations of bimodules

Rings and Algebras 2008-06-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0806.3013,
  title  = {Two-sided localizations of bimodules},
  author = {Eduard Ortega},
  journal= {arXiv preprint arXiv:0806.3013},
  year   = {2008}
}
R2 v1 2026-06-21T10:52:05.932Z