Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Algebraic K-theory - MaRDI portal

Algebraic K-theory (Q2266117)

From MaRDI portal

Jump to:navigation, search

scientific article

Language	Label	Description	Also known as
English	Algebraic K-theory	scientific article

Statements

scholarly article

0 references

Algebraic K-theory (English)

0 references

Journal of Soviet Mathematics

0 references

publication date

1985

0 references

Translation from Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 20, 71-152 (Russian) (1982; Zbl 0519.18011).

0 references

zbMATH Keywords

K-functor

0 references

exact category

0 references

multiplication in K-theory

0 references

survey

0 references

K0

0 references

K1

0 references

K2

0 references

K-theory of schemes

0 references

bibliography

0 references

higher K-functors

0 references

Andrei A. Suslin

0 references

MaRDI profile type

MaRDI publication profile

0 references

Properties of bases of some Köthe spaces and their subspaces

0 references

On the normal subgroups of the orthogonal group over a ring with involution.

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS

0 references

One theorem of Cohn

0 references

0 references

0 references

ON STABLY FREE MODULES

0 references

LOCALLY POLYNOMIAL RINGS AND SYMMETRIC ALGEBRAS

0 references

0 references

0 references

Stabilization theorem for the Milnor \(K_ 2-\)functor

0 references

Schur multiplier of a group of elementary matrices of finite order

0 references

\(K_0\) and noetherian group rings

0 references

0 references

0 references

0 references

0 references

0 references

Algebraic \(K\)-theory and its geometric applications

0 references

K-theory of endomorphisms

0 references

Homology of \(\mathrm{SL}_2(\mathbb Z[\omega])\)

0 references

\(\mathrm{SL}_2(\mathbb Z[(1+\sqrt{5})/2])\)

0 references

\(K_2\) of quaternion algebras

0 references

\(K_2(2,k[T,T^{-1}])\) is generated by ''symbols''

0 references

Division algebras of degree 4 and 8 with involution

0 references

Projective modules over subrings of \(k[x,y]\) generated by monomials

0 references

Projective Modules over Subrings of k[ X,Y ]

0 references

0 references

0 references

Higher Algebraic K-Theories

0 references

0 references

Grothendieck and Whitehead groups of torsion free Abelian groups

0 references

Cohomology of subgroups of finite index of 𝑆𝐿(3,𝑍) and 𝑆𝐿(4,𝑍)

0 references

Cohomology of congruence subgroups of \(SL(n,Z)\)

0 references

0 references

0 references

On the 2-torsion in the \(K_2\) of fields

0 references

0 references

0 references

0 references

L\(_3\) of finite Abelian groups

0 references

Modules which support nonsingular forms

0 references

\(K\)-theory and stable algebra

0 references

The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups

0 references

Projective modules over free groups are free

0 references

Locally polynomial algebras are symmetric

0 references

The Whitehead group of a polynomial extension

0 references

Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)

0 references

0 references

Riemann-Roch and topological K-theory for singular varieties

0 references

Lefschetz-Riemann-Roch for singular varieties

0 references

On the cohomology of the finite special linear groups. I, II

0 references

Non-Free Projective Modules for Torsion-Free Groups

0 references

0 references

Some formulas pertaining to the K-theory of commutative groupschemes

0 references

K<sub>2</sub>of artinian Q-algebras, with application to algebraic cycles

0 references

Torsion algebraic cycles, 𝐾₂, and Brauer groups of function fields

0 references

0 references

0 references

K\(_2\) and algebraic cycles

0 references

Algebraic K-theory and crystalline cohomology

0 references

0 references

0 references

On the Chow groups of certain rational surfaces

0 references

Algebraic K-theory and classfield theory for arithmetic surfaces

0 references

0 references

Gersten's conjecture and the homology of schemes

0 references

On a conjecture of M. P. Murthy

0 references

Stable and 𝐿²-cohomology of arithmetic groups

0 references

0 references

Stable real cohomology of arithmetic groups

0 references

Le théorème de Riemann-Roch

0 references

Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)

0 references

Cohomologie d'immeubles et de groupes S-arithmétiques

0 references

Seminormality and projective modules over polynomial rings

0 references

Projective modules over some non-noetherian polynomial rings

0 references

Seminormality and root closure in polynomial rings and algebraic curves

0 references

0 references

0 references

Some rational computations of the Waldhausen algebraic K theory

0 references

0 references

Unitary nilpotent groups and Hermitian $K$-theory. I

0 references

Lower k-theory of finite groups

0 references

Lower K-theory of nilpotent groups

0 references

Localization in lower algebraic k-theory

0 references

0 references

Homology stability for \(GL_n\) of a Dedekind domain

0 references

Moore's theorem on uniqueness of reciprocity laws

0 references

Whitehead groups of semidirect products of free groups II

0 references

Whitehead Groups of Certain Semidirect Products of Free Groups

0 references

Whitehead groups of twisted free associative algebras

0 references

0 references

Algebraic K-theory II. ''Classical'' algebraic K-theory, and connections with arithmetic. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972

0 references

0 references

0 references

0 references

On \(K_2\) and some classical conjectures in algebraic number theory

0 references

On the structure of the \(GL_ 2\) of a ring

0 references

A K-theory for the category of projective algebras

0 references

On the K-theory of algebras and polynomial extensions

0 references

Localization in algebraic K-theory

0 references

A Mayer-Vietoris sequence in non-linear K-theory

0 references

0 references

0 references

Topological covering of SL(2) over a local field

0 references

On the Geometric Interpretation of Seminormality

0 references

K-theory of tetrahedra

0 references

Homotopy and algebraic K-theory

0 references

0 references

\(K_2\) of n lines in the plane

0 references

0 references

K-Theory of Hyperplanes

0 references

0 references

The GE 2 Property for Discrete Subrings of C

0 references

Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)

0 references

\(K_2(A[X,Y]/XY)\), a problem of Swan, and related computations

0 references

\(K_2\) of von Neumann regular rings

0 references

\(K_2\) of discrete valuation rings

0 references

Injective stability for 𝐾₂ of local rings

0 references

A new exact sequence for 𝐾₂ and some consequences for rings of integers

0 references

The weak local global principle in algebraic k-theory

0 references

\(K_2\) of a Euclidean ring

0 references

K<sub>2</sub> (ZΦ) for Φ a Group of Order Two or Three

0 references

Twisted homological stability for general linear groups

0 references

Some recent developments in the homology theory of groups. (Groups of finite and virtually finite dimension)

0 references

0 references

0 references

Basic elements: Theorems from algebraic 𝐾-theory

0 references

0 references

Determination of k n (n ≧3) for Global Fields

0 references

Pfister forms and \(K\)-theory of fields

0 references

Projective modules over polynomial rings

0 references

A proposition of Bass and the fundamental theorem of algebraic K-theory

0 references

𝐾ᵣ(𝐙/𝐩²) and 𝐊ᵣ(𝐙/𝐩[𝜖]) for 𝐩⩾5 and 𝐫⩽4

0 references

The Nonfiniteness of Nil

0 references

Infinite matrices in algebraic K-theory and topology

0 references

0 references

A note on the spectra of algebraic K-theory

0 references

Loop spaces and finite orthogonal groups

0 references

Homology of classical groups over finite fields and their associated infinite loop spaces

0 references

0 references

Computations of K-theories of finite fields

0 references

Unstable K-theories of the algebraic closure of a finite field

0 references

Etale K-theory. I: Connections with etale cohomology and algebraic vector bundles

0 references

The etale homotopy theory of a geometric fibration

0 references

0 references

Karoubi's conjecture for finite fields

0 references

Non-Abelian Homological Algebra I. Derived Functors and Satellites

0 references

0 references

0 references

Lower bounds on the stable range of polynomial rings

0 references

Stable range for matrices

0 references

0 references

0 references

A finiteness theorem for K\(_2\) of a number field

0 references

On the \(GE_n\) of a ring

0 references

Kähler differentials and excision for curves

0 references

Excision and \(K_1\) regularity for curves with normal crossings

0 references

The relationship between the Picard groups and \(SK_1\) of some algebraic curves

0 references

The localization theorem for protective modules

0 references

0 references

0 references

0 references

A Mayer-Vietoris sequence in the K-theory of localizations

0 references

Higher $K$-theory for regular schemes

0 references

K 3 of a Ring is H 3 of the Steinberg Group

0 references

On the K-Theory of Laurent Polynomials

0 references

On the functor \(K_ 2\), I

0 references

On Mayer-Vietoris functors and algebraic K-theory

0 references

Homotopy theory of rings

0 references

On the spectrum of algebraic 𝐾-theory

0 references

On class groups of free products

0 references

K-Theory of Free Rings

0 references

A relation between two simplicial algebraic 𝐾-theories

0 references

Hermitian forms and higher algebraic 𝐾-theory

0 references

Riemann-Roch theorems for higher algebraic 𝐾-theory

0 references

K-theory and localization of noncommutative rings

0 references

Algebraic cycles and algebraic K-theory

0 references

Localization for flat modules in algebraic K-theory

0 references

\(K_2\) and the \(K\)-theory of automorphisms

0 references

Products in K-theory and intersecting algebraic cycles

0 references

Projections, cycles, and algebraic \(K\)-theory

0 references

The K-theory of hereditary categories

0 references

The K-theory of endomorphisms

0 references

Generators and Relations for the Special Linear Group Over a Division Ring

0 references

K-theory of finite dimensional division algebras

0 references

A Note on K 2 and the Theory of ℤ p -Extensions

0 references

0 references

0 references

The degenerate principal series for 𝑆𝑝(2𝑛)

0 references

The Serre Conjecture

0 references

Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern

0 references

\(K_i\) groups of rings of algebraic integers

0 references

0 references

0 references

Some exact sequences in algebraic K-theory

0 references

Grothendieck Groups of Orders in Semisimple Algebras

0 references

Algebraic K-theory III. Hermitian K-theory and geometric applications. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972

0 references

0 references

Projective Modules Over an Extension of a Local Ring

0 references

On K2 () and presentations of SLn () in the real quadratic case.

0 references

The elements of \(K_2(\mathbb{Z}_s)\)

0 references

Zur endlichen Präsentation von Chevalley-Gruppen über den euklidischen imaginär-quadratischen Zahlringen

0 references

0 references

Hauptidealringe mit nichttrivialer \(SK_1\)-Gruppe

0 references

0 references

0 references

0 references

0 references

The Schur multipliers of \(SL(3,Z)\) and \(SL(4,Z)\)

0 references

0 references

The $K_2$ of rings with many units

0 references

Homology stability for linear groups

0 references

A presentation for some 𝐾₂(𝑛,𝑅)

0 references

On the Schur multipliers of Chevalley groups over commutative rings

0 references

Projective modules over some polynomial rings

0 references

Algèbres de Clifford et $K$-théorie

0 references

Sur la $K$-théorie algébrique

0 references

0 references

0 references

La périodicité de Bott en $K$-théorie générale

0 references

0 references

0 references

Localisation de formes quadratiques $I$

0 references

Localisation de formes quadratiques. II

0 references

Le théorème fondamental de la K-théorie hermitienne

0 references

Théorie de Quillen et homologie du groupe orthogonal

0 references

$K$-théorie algébrique et $K$-théorie topologique I.

0 references

$K$-théorie algébrique et $K$-théorie topologique II.

0 references

0 references

0 references

Whitehead groups of some metacyclic groups and orders

0 references

On the <i>K</i> ‐theory of the quaternion group

0 references

Values of Tame Symbols on Division Algebras

0 references

A Transfer Map in <i>K</i> -Theory

0 references

On the projective class group of cyclic groups of prime power order

0 references

0 references

0 references

\((t^2- t)\)-reciprocities on the affine line and Matsumoto's theorem

0 references

The relativization of \(K_2\)

0 references

Doubly relative K-theory and the relative \(K_ 3\).

0 references

On steinberg groups

0 references

Modules and Quadratic Forms over Polynomial Algebras

0 references

0 references

On K 2 and Z l Extensions of Number Fields

0 references

\(\lambda\)-structure en K-théorie algébrique

0 references

Fundamental groups, algebraic K-theory, and a problem of Abhyankar

0 references

Whitehead group of orders in p-adic semi-simple algebras

0 references

Some Algebraic K-Theoretic Applications of the LF and NF Functors

0 references

The second degree cohomology of finite orthogonal groups. II

0 references

On \(K_2\) of truncated polynomial rings

0 references

0 references

Serre's conjecture

0 references

K 0 and K 1 -An Introduction to Algebraic K-Theory

0 references

0 references

On unstable cohomology classes of <i> SL <sub>n</sub> </i> ( <i>Z</i> )

0 references

The group \(K_3(Z)\) is cyclic of order forty-eight

0 references

On the Homology of Congruence Subgroups and <i>K</i> <sub>3</sub> (Z)

0 references

On the torsion in \(K_4(\mathbb{Z})\) and \(K_5(\mathbb{Z})\)

0 references

Projective modules over R[\(X_ 1,\)\dots ,X//n], R a Prüfer domain

0 references

0 references

Projektive Moduln über Polynomringen \(A[T_1,\dots,T_M\) mit einem regulären Grundring \(A\)

0 references

Erweiterungskriterien für stabil freie Moduln über Polynomringen

0 references

On the Bass-Quillen conjecture concerning projective modules over polynomial rings

0 references

Projektive Moduln über polynomialen Erweiterungen von Potenzreihenalgebren

0 references

$K$-théorie algébrique et représentations de groupes

0 references

0 references

Cohomologie et groupe de Steinberg rélatifs

0 references

0 references

A presentation for \(K_2\) of split radical pairs

0 references

K-Theory of Commutative Regular Rings

0 references

\(SK_1\) of dihedral groups

0 references

Images of \(SK_1ZG\)

0 references

Whitehead Groups of Some Hyperelementary Groups

0 references

0 references

Sur les sous-groupes arithmétiques des groupes semi-simples déployés

0 references

Finite factor groups of the unimodular group

0 references

0 references

Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate

0 references

Introduction to Algebraic K-Theory. (AM-72)

0 references

On two conjectures about polynomial rings

0 references

Group extensions of p-adic and adelic linear groups

0 references

Derivation of Witt vectors with application to \(K_ 2\) of truncated polynomial rings and Laurent series

0 references

Projective <i>A</i> [<i>X</i> ]-Modules

0 references

Vector bundles over affine surfaces birationally equivalent to a ruled surface

0 references

0 references

Vector bundles over affine surfaces

0 references

Algebraic vector bundles over A\(^3\) are trivial

0 references

0 references

Cancellation of Azumaya algebras

0 references

\(SK_1\) for finite groups rings. I

0 references

𝑆𝐾₁ of 𝑝-adic group rings

0 references

Su alcuni gruppi della K-teoria delle varieta affini

0 references

0 references

Projective modules and Hermitian matrices

0 references

Failure of a Quadratic Analogue of Serre's Conjecture

0 references

Projective modules over polynomial rings over division rings

0 references

Projective modules over quaternion algebras

0 references

Quadratic forms over rings of dimension 1

0 references

0 references

0 references

Projective modules over polynomial rings

0 references

On the cohomology and K-theory of the general linear groups over a finite field

0 references

Higher algebraic K-theory: I

0 references

0 references

0 references

On the congruence subgroup problem

0 references

Algebraic <i>L</i> -Theory, I: Foundations

0 references

Algebraic \(L\)-theory. IV: Polynomial extension rings

0 references

On the algebraic \(L\)-theory of semisimple rings

0 references

0 references

The Algebraic Theory of Surgery I. Foundations

0 references

Modules projectifs universels

0 references

Zentrale Erweiterungen der speziellen linearen Gruppe eines Schiefkörpers.

0 references

On \(K_2\) of finite dimensional division algebras over arithmetical fields

0 references

K 1 of Some Abelian Categories

0 references

K 1 of a Curve of Genus Zero

0 references

THE K-theory of some reducible affine varieties

0 references

SK1 R[X, Y]/(X2+Y2-1): Remarks on an example of bass and milnor

0 references

Über die Eindeutigkeit des Reziprozitätsgesetzes in der Klassenkörpertheorie

0 references

On Serre's Problem on Projective Modules

0 references

A Note on Quillen's Paper "Projective Modules Over Polynomial Rings"

0 references

On projective modules over polynomial rings

0 references

Abelian splitting of division algebras of prime degrees

0 references

Generic matrices, 𝐾₂, and unirational fields

0 references

Second homology of lie groups made discrete

0 references

On the Forster-Eisenbud-Evans conjectures

0 references

Ein Kriterium für die Richtigkeit der Milnor-Vermutung

0 references

TRIVIALITY OF VECTOR BUNDLES OVER THE AFFINE SPACE K <sup>2</sup>

0 references

Classifying spaces and spectral sequences

0 references

Categories and cohomology theories

0 references

Faisceaux algébriques cohérents

0 references

Le problème des groupes de congruence pour \(SL_2\)

0 references

0 references

A Riemann-Roch type theorem for the Witt and Milnor rings of a field

0 references

Relations between the Milnor and Quillen K-theory of fields

0 references

On a question of swan in algebraic k-theory

0 references

On the structure of the unitary Steinberg group

0 references

On the structure of the Steinberg group st(Lambda)

0 references

A Note on the Localization Theorem for Projective Modules

0 references

Some Splitting Results in the K-Theory of Rings

0 references

Gersten's conjecture for arithmetic surfaces

0 references

The K-theory of an equicharacteristic discrete valuation ring injects into the K-theory of its field of quotients

0 references

Some theorems on the k-theory of coherent sheaves

0 references

K-cohomology of regular schemes

0 references

0 references

On the <i>K</i> <sub>2</sub> of a Free Associative Algebra

0 references

Unitary Whitehead group of cyclic groups

0 references

On the Homology of the General Linear Groups Over Z/4

0 references

On the Localisation Sequence in K-Theory

0 references

Addendum to the article ``On the torsion in \(K_*(\mathbb{Z})\)''

0 references

The cohomology of \(SL_3(Z)\)

0 references

K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale

0 references

0 references

Reduction theory and \(K_3\) of the Gaussian integers

0 references

0 references

Projective modules over polynomial extensions of division rings

0 references

On the Stable Range of Right Noetherian Rings

0 references

Relativizing functors on rings and algebraic K-theory

0 references

Surjective Stability in Dimension 0 for K 2 and Related Functors

0 references

The Schur multipliers of Sp\(_6(Z)\), Spin\(_8(Z)\), Spin\(_7(Z)\) and F\(_4(Z)\)

0 references

Whitehead groups of finite groups

0 references

0 references

Excision and \(K_ 2\) of group rings

0 references

Maps of rings which induce surjections on \(K_ 3\).

0 references

0 references

0 references

The fundamental group of the general linear group

0 references

Karoubi-Villamayor K-Theory is not Homotopy Quillen Theory

0 references

Building K-theories

0 references

A spectral sequence for double complexes of groups

0 references

0 references

0 references

0 references

On the equivalence of k-theories

0 references

The number of generators of a module

0 references

Vector Bundles and Projective Modules

0 references

Some relations between higher K-functors

0 references

Excision in algebraic \(K\)-theory

0 references

0 references

0 references

A cancellation theorem for projective modules in the metastable range

0 references

Topological Examples of Projective Modules

0 references

Projective Modules over Laurent Polynomial Rings

0 references

A class of projective modules which are nearly free

0 references

Relations between \(K_2\) and Galois cohomology

0 references

0 references

Simplicial resolutions and derived functors

0 references

Homology stability for 0<sub>n,n</sub>

0 references

Localization of the K-theory of polynomial extensions

0 references

The general linear group of polynomial rings over regular rings

0 references

On K 2 of the Laurent Polynomial Ring

0 references

Delooping classifying spaces in algebraic K-theory

0 references

0 references

Homotopy theory for the p-adic special linear group

0 references

Delooping the continuous K-theory of a valuation ring

0 references

Stability for homology of the general linear group of a local ring

0 references

Continuous cohomology and p-adic K-theory

0 references

Equivalence of algebraic K-theories

0 references

Algebraic K-theory of generalized free products. I

0 references

0 references

Norms of Units in Group Rings

0 references

0 references

The homotopy exact sequence in algebraic<i>K</i>-Theory

0 references

Nilpotence and K-theory

0 references

K-theory and analytic isomorphisms

0 references

\(K_2,K_3\) and nilpotent ideals

0 references

<i>K</i> -Theory for Twisted Group Rings

0 references

Identifiers

zbMATH Open document ID

0 references

10.1007/BF02105457

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

zbMATH DE Number

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2266117

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q2266117&oldid=34715270"