Almost Ring Theory

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springer.com Mathematics : Algebra Gabber, Ofer, Ramero, Lorenzo Almost Ring Theory This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that ofan "almost ring". Almost rings are the commutative unitary monoids in a tensor category obtained as a quotient V-Mod/S of the category V-Mod of modules over a fixed ring V; the subcategory S consists of all modules annihilated by a fixed ideal m of V, satisfying certain natural conditions. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as self-contained as possible. One novel feature of the book - compared with Faltings' earlier treatment - is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras. Order online at springer.com/booksellers Springer Springer Nature Customer Service Center GmbH 2003, VI, 318 p. Customer Service 1st Tiergartenstrasse 15-17 edition 69121 Heidelberg Germany T: +49 (0)6221 345-4301 Printed book [email protected] Softcover Printed book Softcover ISBN 978-3-540-40594-8 £ 54,99 | CHF 71,00 | 59,99 € | 65,99 € (A) | 64,19 € (D) Available Discount group Science (SC) Product category Monograph Series Lecture Notes in Mathematics Prices and other details are subject to change without notice. All errors and omissions excepted. Americas: Tax will be added where applicable. Canadian residents please add PST, QST or GST. Please add $5.00 for shipping one book and $ 1.00 for each additional book. Outside the US and Canada add $ 10.00 for first book, $5.00 for each additional book. If an order cannot be fulfilled within 90 days, payment will be refunded upon request. Prices are payable in US currency or its equivalent. ISBN 978-3-540-40594-8 / BIC: PBF / SPRINGER NATURE: SCM11000 Part of .

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Noncommutative Localization in Noncommutative Geometry
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