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Titlebook: Algebraic K-Theory; V. Srinivas Book 19911st edition Springer Science+Business Media New York 1991 algebra.Algebraic K-theory.K-theory

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发表于 2025-3-21 16:53:16 | 显示全部楼层 |阅读模式
期刊全称Algebraic K-Theory
影响因子2023V. Srinivas
视频video
学科分类Progress in Mathematics
图书封面Titlebook: Algebraic K-Theory;  V. Srinivas Book 19911st edition Springer Science+Business Media New York 1991 algebra.Algebraic K-theory.K-theory
Pindex Book 19911st edition
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,Exact Categories and Quillen’s Q-Construction,exact sequence in . with M′, M″ε ζ, then M is isomorphic to an objecj of ζ. . in ζ is then defined to be an exact sequence in . whose terms lie in ζ. Let ξ be the class of exact sequences in ζ. One can give an intrinsic definition of an exact category ζ in terms of a class ξ of diagrams in the addit
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Localisation for Singular Varieties,ove the so called “fundamental theorem” (9.8) which computes K.(A[t, t.]), and to relate the study of 0-cycles on normal surfaces to modules of finite length and finite projective dimension over the local rings at singular points. We begin with Quillen’s localisation theorem, proved in “Higher Algeb
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https://doi.org/10.1007/978-3-7908-1837-6 For our purposes, it is only important to know that BGL(R) is an Eilenberg-MacLane space K(GL(R), 1) i.e. BGL(R) is a connected space with π.(BGL(R))≅ GL(R), π.(BGL(R)) = 0 for i≥2, and that these properties characterise BGL(R) upto homotopy equivalence (since we are assuming that all spaces consid
发表于 2025-3-22 09:47:04 | 显示全部楼层
Fernando Osório,Bernard Amy,Adelmo Cechinexact sequence in . with M′, M″ε ζ, then M is isomorphic to an objecj of ζ. . in ζ is then defined to be an exact sequence in . whose terms lie in ζ. Let ξ be the class of exact sequences in ζ. One can give an intrinsic definition of an exact category ζ in terms of a class ξ of diagrams in the addit
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https://doi.org/10.1007/978-3-7908-1837-6Let Δ be the following category: for each non-negative integer n, let . = {0<1< ...
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Studies in Fuzziness and Soft ComputingIf R is a ring, let . (R) denote the category of finitely generated projective (left) R-modules. This is a full subcategory of the abelian category of left R-modules, so that . (R) is an exact category where all exact sequences are split. We will prove the following result, comparing the plus and Q constructions, in §7.
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