# zbMATH — the first resource for mathematics

Localization for flat modules in algebraic K-theory. (English) Zbl 0436.18010

##### MSC:
 18F25 Algebraic $$K$$-theory and $$L$$-theory (category-theoretic aspects) 18E10 Abelian categories, Grothendieck categories 18E35 Localization of categories, calculus of fractions 14C15 (Equivariant) Chow groups and rings; motives 14C35 Applications of methods of algebraic $$K$$-theory in algebraic geometry
Full Text:
##### References:
 [1] Altman, A; Kleiman, S, Introduction to Grothendieck duality theory, () · Zbl 0215.37201 [2] Bloch, S, K2 of Artinian $$Q$$-algebras, with application to algebraic cycles, Comm. algebra, 3, 405-428, (1975), (5) · Zbl 0327.14002 [3] Gersten, S, The localization theorem for projective modules, Comm. algebra, 2, 307-350, (1974) · Zbl 0332.18013 [4] Grayson, D, Higher algebraic K-theory: II [after daniel quillen], () [5] Grayson, D, The K-theory of hereditary categories, J. pure appl. alg., 11, 67-74, (1977) · Zbl 0372.18004 [6] Grayson, D, Algebraic cycles and algebraic K-theory, J. algebra, 61, 129-151, (1979) · Zbl 0436.18009 [7] Grayson, D, K2 and the K-theory of automorphisms, J. algebra, 58, 12-30, (1979) · Zbl 0413.18011 [8] Grayson, D, Products in K-theory and intersecting algebraic cycles, Invent. math., 47, 71-83, (1978) · Zbl 0394.14004 [9] Quillen, D, Higher algebraic K-theory, I, () · Zbl 0292.18004 [10] Raynaud, M; Gruson, K, Critères de platitude et de projectivité, Invent. math., 13, 1-89, (1971) · Zbl 0227.14010 [11] Swan, R, Algebraic K-theory, () · Zbl 0193.34601
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.