轨道
发表于 2025-3-23 13:44:58
Introduction,I dedicate this book to my father Niko Inassaridze, Georgian writer.
Obliterate
发表于 2025-3-23 14:44:27
Classical Algebraic K-functors,In this chapter we give the definition and some properties of the three basic algebraic .-functors K., . and . which form the Classical Algebraic .-theory. Other important properties of these functors will be given in Chapter III.
保存
发表于 2025-3-23 20:07:33
Higher ,-functors,Before defining the .-theory of exact categories we will need some results on the classifying space of a small category ..
割公牛膨胀
发表于 2025-3-24 01:53:29
Properties of algebraic K-functors,Let . be a cartesian square of rings with unit and with at least one of the homomorphisms . or . surjective.
同来核对
发表于 2025-3-24 04:13:09
The problem of Serre for polynomial and monoid algebras,The 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.
大火
发表于 2025-3-24 08:16:44
http://reply.papertrans.cn/16/1527/152648/152648_16.png
incredulity
发表于 2025-3-24 11:03:30
gebra, 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 Mi
独行者
发表于 2025-3-24 17:53:49
http://reply.papertrans.cn/16/1527/152648/152648_18.png
charisma
发表于 2025-3-24 22:05:45
Intelligent Systems Reference Libraryand de Rham cohomology. Waldhausen’s algebraic A-theory of a simply connected space . can be computed rationally from the cyclic homology of the minimal model of .. There are defined also characteristic classes from algebraic .-theory to cyclic homology.
思想灵活
发表于 2025-3-25 01:10:29
Relation between algebraic and topological ,-theories,wed 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 finitely generated projective .-modules. In particular we have . = ..