使入伍 发表于 2025-3-21 16:53:16

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Seizure 发表于 2025-3-21 20:44:42

,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

HERE 发表于 2025-3-22 02:24:02

Localisation for Singular Varieties,ove the so called “fundamental theorem” (9.8) which computes K.(A), 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

图表证明 发表于 2025-3-22 07:08:49

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

Musket 发表于 2025-3-22 09:47:04

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

指令 发表于 2025-3-22 15:11:57

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mortgage 发表于 2025-3-22 17:16:27

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medieval 发表于 2025-3-22 23:54:47

https://doi.org/10.1007/978-3-7908-1837-6Let Δ be the following category: for each non-negative integer n, let . = {0<1< ... <n} be the ordered set consisting of 0,1, ....n; the . of Δ are the ordered sets ., and . are monotonic maps (i.e. maps f: . → . such that f(i)≤f(j) for i<j; in particular equality f(i) = f(j) is permitted).

Senescent 发表于 2025-3-23 02:52:41

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.

Interim 发表于 2025-3-23 08:30:48

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