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Localization of the K-theory of polynomial extensions. (English) Zbl 0415.13005


MSC:

13D15 Grothendieck groups, \(K\)-theory and commutative rings
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
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References:

[1] Bak, A.: Strong approximation for central coverings of elementary groups. Preprint
[2] Bass, H.: AlgebraicK-theory. New York: Benjamin 1968 · Zbl 0174.30302
[3] Bass, H.: Some problems in ?classical? algebraicK-theory. Lecture Notes in Mathematics, 342, pp. 3-73. Berlin, Heidelberg, New York: Springer 1973
[4] Bloch, S.: AlgebraicK-theory and crystalline cohomology. Publ. Inst. des Hautes Études Scientifiques47, 187-268 (1978) · Zbl 0388.14010
[5] Bloch, S.: Some formulas pertaining to theK-theory of commutative groupschemes. Preprint · Zbl 0432.14014
[6] Davis, E.: On the geometric interpretation of seminormality. Proc. Amer. Math. Soc.68, 1-5 (1978) · Zbl 0386.13012 · doi:10.1090/S0002-9939-1978-0453748-5
[7] Dennis, R.K., Stein, M.:K 2 of radical ideals and semi-local rings revisited. Lecture Notes in Mathematics, Vol. 342, pp. 281-303. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0271.18012
[8] Dennis, R.K., Krusemeyer, M.:K 2(A[X, Y]/XY), a problem of Swan, and related computations. J. Pure Appl. Algebra15, 125-148 (1979) · Zbl 0405.18009 · doi:10.1016/0022-4049(79)90029-X
[9] Ferrand, D.: Les modules projectifs de type fini sur un anneau de polynomes sur un corps sont libres. Lecture Notes in Mathematics, 567, pp. 202-221. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0359.13002
[10] Godement, R.: Théorie des faisceaux. Paris: Hermann 1958 · Zbl 0080.16201
[11] Grayson, D.: Higher algebraicK-theory II. Lecture Notes in Mathematics, 551, pp. 217-240. Berlin, Heidelberg, New York: Springer 1976
[12] Grayson, D.:K-theory of endomorphisms. J. Algebra48, 439-446 (1977) · Zbl 0413.18010 · doi:10.1016/0021-8693(77)90320-9
[13] Grothendieck, A., Dieudonné, J.A.: Eléments de géométrie algébrique I. Berlin, Heidelberg, New York: Springer 1971
[14] Grothendieck, A.: Eléments de géométrie algébrique III. Publ. Inst. Hautes Études Scientifiques11 (1961)
[15] Grothendieck, A.: Eléments de géométrie algébrique IV. Publ. Inst. Hautes Études Scientifiques24 (1964)
[16] Karoubi, M.: Localisation des formes quadratiques. Ann. Sci. École Norm. Sup.4, 359-404 (1974) · Zbl 0325.18011
[17] Maazen, H., Stienstra, J.: A presentation forK 2 of split radical pairs. J. Pure Appl. Algebra10, 271-294 (1978) · Zbl 0393.18013 · doi:10.1016/0022-4049(77)90007-X
[18] Milnor, J.: Introduction to algebraicK-theory. Annals of Mathematics Studies, Vol. 72. Princeton: University Press 1971 · Zbl 0237.18005
[19] Quillen, D.: Higher algebraicK-theory I. Lecture Notes in Mathematics, 341, pp. 85-147. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0292.18004
[20] Stienstra, J.: Deformations of a second Chow group. Thesis, Utrecht (1978) · Zbl 0393.18013
[21] Vorst, T.: Polynomial extensions and excision forK 1. Math. Ann. (in press, 1979) · Zbl 0426.13005
[22] Weibel, C.A.: Homotopy in algebraicK-theory. Thesis, Chicago (1977)
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