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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video
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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