Zariskian Filtrations by Freddy Li HuishiZariskian Filtrations by Freddy Li Huishi

Zariskian Filtrations

byFreddy Li Huishi, Freddy Van Oystaeyen

Paperback | December 15, 2010

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This 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.
Title:Zariskian FiltrationsFormat:PaperbackDimensions:262 pages, 9.25 × 6.1 × 0 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048147387

ISBN - 13:9789048147380

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Table of Contents

Introduction. I. 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. Subject Index.