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OverviewThis book is the first to present a complete theory of filtrations on associative rings, combining techniques stemming from number theory related to valuations, with facts originating in the study of rings of differential operators on varieties. It deals with the homological algebra part of the theory via an innovative use of graded ring theory applied to the Rees ring of a filtration. This leads to a completely new approach to extensions of valuations, regularity conditions on noncommutative algebras, and geometric aspects of rings of differential operators, and provides new applications related to deformations of algebras, gauge algebras and other physics-related objects. Audience: This volume will be of interest to graduate students and researchers in different fields of mathematics and mathematical physics. Full Product DetailsAuthor: Li Huishi , Freddy Van OystaeyenPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1996 Volume: 2 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048147380ISBN 10: 9048147387 Pages: 253 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI Filtered Rings and Modules.- II Zariskian Filtrations.- III Auslander Regular Filtered (Graded) Rings.- IV Microlocalization of Filtered Rings and Modules, Quantum Sections and Gauge Algebras.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |