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Titlebook: Algebraic K-Theory; V. Srinivas Textbook 1996Latest edition Springer Science+Business Media New York 1996 Category theory.Dimension.Grad.K

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期刊全称Algebraic K-Theory
影响因子2023V. Srinivas
视频videohttp://file.papertrans.cn/153/152645/152645.mp4
发行地址Appendices on topology and algebraic geometry provide requisite background material for the subject.Provides many examples to solidify understanding in the reader.Discusses fundamentals and new resear
学科分类Modern Birkhäuser Classics
图书封面Titlebook: Algebraic K-Theory;  V. Srinivas Textbook 1996Latest edition Springer Science+Business Media New York 1996 Category theory.Dimension.Grad.K
影响因子.Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author‘s home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. This new edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience...A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers “Higher Algebraic K-Theory, I, II.” A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An applications is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interestin
Pindex Textbook 1996Latest edition
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Ravikiran Vaidya,Vishal Dhamecha% aaaa!370C!]]
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The Classifying Space of a Small Category,% aaaa!370C!]]
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Algebraic K-Theory978-0-8176-4739-1Series ISSN 2197-1803 Series E-ISSN 2197-1811
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https://doi.org/10.1007/978-0-8176-4739-1Category theory; Dimension; Grad; K-theory; algebraic geometry; plus construction; topology
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978-0-8176-4736-0Springer Science+Business Media New York 1996
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Ravi Sundaram,Sorabh Gupta,Sanjay GuptaIf . is a ring, let P(.) denote the category of finitely generated projective (left) .-modules. This is a full subcategory of the Abelian category of left .-modules, so that P(.) is an exact category where all exact sequences are split. We will prove the following result, comparing the plus and . constructions, in Chapter 7.
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