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Titlebook: Algebraic K-Theory; Hvedri Inassaridze Book 1995 Springer Science+Business Media Dordrecht 1995 Algebraic K-theory.Grad.Grothendieck topol

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期刊全称Algebraic K-Theory
影响因子2023Hvedri Inassaridze
视频video
学科分类Mathematics and Its Applications
图书封面Titlebook: Algebraic K-Theory;  Hvedri Inassaridze Book 1995 Springer Science+Business Media Dordrecht 1995 Algebraic K-theory.Grad.Grothendieck topol
影响因子Algebraic .K.-theory is a modern branch of algebra whichhas many important applications in fundamental areas of mathematicsconnected with algebra, topology, algebraic geometry, functionalanalysis and algebraic number theory. Methods of algebraic.K.-theory are actively used in algebra and related fields,achieving interesting results. .This book presents the elements of algebraic .K.-theory, basedessentially on the fundamental works of Milnor, Swan, Bass, Quillen,Karoubi, Gersten, Loday and Waldhausen. It includes all principalalgebraic .K.-theories, connections with topological.K.-theory and cyclic homology, applications to the theory ofmonoid and polynomial algebras and in the theory of normed algebras..This volume will be of interest to graduate students and researchmathematicians who want to learn more about .K.-theory. .
Pindex Book 1995
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978-90-481-4479-2Springer Science+Business Media Dordrecht 1995
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Naoto Jinji,Xingyuan Zhang,Shoji Harunag of continuous functions on . with values in . = ℝ or C. If ξ is a real or complex vector bundle over ., the group Γ(ξ) of global sections can be viewed as a .-module. Swan’s result says that the functor Γ establishes an equivalence between the category of vector bundles over . and the category of
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Intelligent Systems Reference Librarylgebraic .-theory, the linear group being replaced by the Lie algebra of matrices. The cyclic homology is also closely related to Hochschild homology and de Rham cohomology. Waldhausen’s algebraic A-theory of a simply connected space . can be computed rationally from the cyclic homology of the minim
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Deep Inelastic , Cross Sections,I dedicate this book to my father Niko Inassaridze, Georgian writer.
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Springer Tracts in Modern PhysicsBefore defining the .-theory of exact categories we will need some results on the classifying space of a small category ..
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Springer Tracts in Modern PhysicsLet . be a cartesian square of rings with unit and with at least one of the homomorphisms . or . surjective.
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Naoto Jinji,Xingyuan Zhang,Shoji HarunaThe well-known Serre’s problem on the freeness of finitely generated projective modules over the polynomial ring .[.,... , .] with . a field was confirmed independently by Quillen and Suslin.
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