L. N. Vaserstein, “Foundations of algebraic $K$-theory”, Russian Math. Surveys, 31:4 (1976), 89

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Russian Mathematical Surveys, 1976, Volume 31, Issue 4, Pages 89–156
DOI: https://doi.org/10.1070/RM1976v031n04ABEH001560 (Mi rm3762)

This article is cited in 10 scientific papers (total in 10 papers)

Foundations of algebraic

K

$K$ -theory

L. N. Vaserstein

English version PDF (3696 kB) Citations (10) Russian version article

References:

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DOI: https://doi.org/10.1070/RM1976v031n04ABEH001560

Abstract: The fundamental concepts of (general) algebraic

K

$K$ -theory are expounded and it is proved that the higher

K

$K$ -functors of Volodin, Quillen, Swan and Gersten are the same.

Received: 26.02.1975

Bibliographic databases:

Document Type: Article

MSC: 19D10, 16E30, 18A25, 18G30, 13F55

Language: English

Original paper language: Russian

Citation: L. N. Vaserstein, “Foundations of algebraic

K

$K$ -theory”, Russian Math. Surveys, 31:4 (1976), 89–156

Citation in format AMSBIB

\Bibitem{Vas76}

\by L.~N.~Vaserstein

\paper Foundations of~algebraic $K$-theory

\jour Russian Math. Surveys

\yr 1976

\vol 31

\issue 4

\pages 89--156

\mathnet{http://mi.mathnet.ru/eng/rm3762}

\crossref{https://doi.org/10.1070/RM1976v031n04ABEH001560}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=427426}

\zmath{https://zbmath.org/?q=an:0356.18015|0359.18015}

Linking options:

https://www.mathnet.ru/eng/rm3762

https://doi.org/10.1070/RM1976v031n04ABEH001560

https://www.mathnet.ru/eng/rm/v31/i4/p87

This publication is cited in the following 10 articles:

Th. Yu. Popelensky, “Algebraic and Homological Aspects of Hermitian $K$ -Theory”, Proc. Steklov Inst. Math., 325 (2024), 230–261
Th. Yu. Popelensky, M. V. Prikhodko, “Bruns–Gubeladze $K$ -groups for quadrangular pyramid”, Journal of Mathematical Sciences, 214:5 (2016), 718–727
Aderemi Kuku, Handbook of Algebra, 3, 2003, 157
Kevin P. Knudson, “Congruence Subgroups and Twisted Cohomology ofSLn(F[t])”, Journal of Algebra, 207:2 (1998), 695
V. M. Dergachev, “Algebraic $K$ -groups as homotopy groups of a simplicial analogue of Grassmann manifolds”, Russian Math. Surveys, 45:5 (1990), 227–228
Thomas Fischer, “K-theory of function rings”, Journal of Pure and Applied Algebra, 69:1 (1990), 33
J. F. Jardine, V. P. Snaith, Algebraic K-Theory: Connections with Geometry and Topology, 1989, 517
Nigel Higson, “Algebraic K-theory of stable -algebras”, Advances in Mathematics, 67:1 (1988), 1
L.N. Vaserstein, B.A. Magurnt, “Prestabilization for K1 of Banach algebras”, Linear Algebra and its Applications, 95 (1987), 69
Alexander J. Hahn, Lecture Notes in Mathematics, 1185, Group Theory, Beijing 1984, 1986, 88

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	669
Russian version PDF:	314
English version PDF:	54
References:	72
First page:	1

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