Abstract
Exact contexts and their noncommutative tensor products are introduced which generalize the notions of Milnor squares and usual tensor products over commutative rings, respectively. Exact contexts are characterized by rigid morphisms which exist abundantly, while noncommutative tensor products not only capture some useful constructions in ring theory (such as coproducts of rings and trivially twisted extensions) but also provide a new method to construct universal localizations with rich homological and structural information. Moreover, sufficient and necessary conditions in terms of the data of exact contexts are presented to ensure that the universal localizations constructed are homological ring epimorphisms.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
