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## Bass, Hyman

Compute Distance To:
 Author ID: bass.hyman Published as: Bass, Hyman; Bass, H. Homepage: http://www.soe.umich.edu/people/profile/hyman_bass/ External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Member of Collective: Bourbaki, Nicolas
 Documents Indexed: 115 Publications since 1958, including 15 Books Biographic References: 11 Publications
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#### Co-Authors

 72 single-authored 6 Lubotzky, Alexander 5 Serre, Jean-Pierre 4 Milnor, John Willard 4 Wright, David L. 3 Connell, Edwin H. 3 Guralnick, Robert Michael 2 Atiyah, Michael Francis 2 Cassidy, Phyllis Joan 2 Haboush, William J. 2 Heller, Alex 2 Tate, John Torrence jun. 2 Tresser, Charles 1 Alperin, Roger Charles 1 Artin, Michael 1 Bolaños Evia, Gilda 1 Brown, Ken 1 Cartan, Henri 1 Cartier, Pierre 1 Cuntz, Joachim 1 Deligne, Pierre René 1 Demazure, Michel 1 Duflot, Jeanne 1 Estes, Dennis Ray 1 Freyd, Peter J. 1 Friedlander, Eric Mark 1 Grayson, Daniel Richard 1 Greenberg, Marvin Jay 1 Hartshorne, Robin 1 Illusie, Luc 1 Jackson, Allyn 1 Jiang, Renfang 1 Katz, Nicholas Michael 1 Kleiman, Steven Lawrence 1 Kovacic, Jerald J. 1 Kra, Irwin 1 Kuku, Aderemi O. 1 Kulkarni, Ravi S. 1 Lam, Tsit-Yuen 1 Lazard, Michel 1 Loday, Jean-Louis 1 Mac Lane, Leslie Saunders 1 Magid, Andy Roy 1 Maubach, Stefan 1 Mazur, Barry 1 Meisters, Gary Hosler 1 Morgan, John W. 1 Mozes, Shahar 1 Mumford, David Bryant 1 Murthy, M. Pavaman 1 Nguyen Van Chau 1 Otero-Espinar, Maria Victoria 1 1 Pardon, William L. 1 Pedrini, Claudio 1 Quillen, Jean 1 Ranicki, Andrew A. 1 Rockmore, Daniel N. 1 Schanuel, Stephen Hoel 1 Segal, Graeme B. 1 Seiler, Ruedi 1 Seppälä, Mika 1 Soundararajan, T. 1 Sullivan, Dennis Parnell 1 Swan, Richard Gordon 1 Tillmann, Ulrike 1 Worfolk, Patrick A. 1 Xambó-Descamps, Sebastian
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#### Serials

 9 Notices of the American Mathematical Society 6 Journal of Pure and Applied Algebra 6 Lecture Notes in Mathematics 5 Journal of Algebra 4 Publications Mathématiques 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Annals of Mathematics. Second Series 4 Bulletin of the American Mathematical Society 2 Communications in Algebra 2 Inventiones Mathematicae 2 Proceedings of the London Mathematical Society. Third Series 2 Bulletin of the American Mathematical Society. New Series 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Topology 1 $$K$$-Theory 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Chaos 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Progress in Mathematics 1 Regional Conference Series in Mathematics 1 Science
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#### Fields

 38 Group theory and generalizations (20-XX) 30 Commutative algebra (13-XX) 25 Algebraic geometry (14-XX) 22 Category theory; homological algebra (18-XX) 16 Associative rings and algebras (16-XX) 13 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 11 $$K$$-theory (19-XX) 9 Manifolds and cell complexes (57-XX) 7 Number theory (11-XX) 6 Combinatorics (05-XX) 4 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mathematics education (97-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

84 Publications have been cited 4,242 times in 3,665 Documents Cited by Year
Algebraic $$K$$-theory. Zbl 0174.30302
Bass, Hyman
1968
On the ubiquity of Gorenstein rings. Zbl 0112.26604
Bass, H.
1963
Finitistic dimension and a homological generalization of semiprimary rings. Zbl 0094.02201
Bass, Hyman
1960
$$K$$-theory and stable algebra. Zbl 0248.18025
Bass, H.
1964
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse. Zbl 0539.13012
Bass, Hyman; Connell, Edwin H.; Wright, David
1982
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0174.05203
Bass, H.; Milnor, John W.; Serre, Jean-Pierre
1967
The Ihara-Selberg zeta function of a tree lattice. Zbl 0767.11025
Bass, Hyman
1992
The degree of polynomial growth of finitely generated nilpotent groups. Zbl 0259.20045
Bass, H.
1972
Covering theory for graphs of groups. Zbl 0805.57001
Bass, Hyman
1993
Grothendieck groups and Picard groups of abelian group rings. Zbl 0157.08202
Bass, H.; Murthy, M. P.
1967
Injective dimension in Noetherian rings. Zbl 0126.06503
Bass, H.
1962
The Milnor ring of a global field. Zbl 0299.12013
Bass, H.; Tate, J.
1973
Lectures on topics in algebraic K-theory. Zbl 0226.13006
Bass, Hyman
1967
The Smith conjecture. Zbl 0599.57001
Morgan, John W. (ed.); Bass, Hyman (ed.)
1984
The Whitehead group of a polynomial extension. Zbl 0248.18026
Bass, H.; Heller, A.; Swan, R. G.
1964
Big projective modules are free. Zbl 0115.26003
Bass, H.
1963
The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups. Zbl 0166.02401
Bass, H.
1966
Locally polynomial algebras are symmetric algebras. Zbl 0371.13007
Bass, H.; Connell, E. H.; Wright, D. L.
1977
Euler characteristics and characters of discrete groups. Zbl 0365.20008
Bass, Hyman
1976
Subgroups of finite index in $$\mathrm{SL}(n,\mathbb Z)$$. (Sous-groupes d’indice fini dans $$\mathrm{SL}(n,\mathbb Z)$$.) Zbl 0232.20086
Bass, H.; Lazard, M.; Serre, Jean-Pierre
1964
Length functions of group actions on $$\Lambda$$-trees. Zbl 0978.20500
Alperin, Roger; Bass, Hyman
1987
Uniform tree lattices. Zbl 0734.05052
Bass, Hyman; Kulkarni, Ravi
1990
Clifford algebras and spinor norms over a commutative ring. Zbl 0344.15017
Bass, Hyman
1974
Torsion free and projective modules. Zbl 0103.02304
Bass, H.
1962
Unitary algebraic $$K$$-theory. Zbl 0299.18005
Bass, Hyman
1973
Groups of integral representation type. Zbl 0444.20006
Bass, Hyman
1980
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
2001
A non-triangular action of $${\mathbb{G}}_ a$$ on $${\mathbb{A}}^ 3$$. Zbl 0555.14019
Bass, Hyman
1984
Linearizing certain reductive group actions. Zbl 0602.14047
Bass, H.; Haboush, W.
1985
Descending chains and the Krull ordinal of commutative Noetherian rings. Zbl 0226.13009
Bass, Hyman
1971
Some remarks on group actions on trees. Zbl 0383.20021
Bass, Hyman
1976
Introduction to some methods of algebraic K-theory. Zbl 0323.18007
Bass, Hyman
1974
Group actions on non-archimedean trees. Zbl 0826.20026
Bass, Hyman
1991
Master-slave synchronization from the point of view of global dynamics. Zbl 1055.34506
Tresser, Charles; Worfolk, Patrick A.; Bass, Hyman
1995
Some problems in “classical” algebraic $$K$$-theory. Zbl 0384.18008
Bass, Hyman
1973
Projective modules over free groups are free. Zbl 0145.26604
Bass, Hyman
1964
Automorphisms of groups and of schemes of finite type. Zbl 0517.14015
Bass, Hyman; Lubotzky, Alexander
1983
Cyclic renormalization and automorphism groups of rooted trees. Zbl 0847.58019
Bass, Hyman; Otero-Espinar, Maria Victoria; Rockmore, Daniel; Tresser, Charles
1995
Projective modules over algebras. Zbl 0113.26003
Bass, Hyman
1961
Generators and relations for cyclotomic units. Zbl 0144.29403
Bass, H.
1966
Linear-central filtrations on groups. Zbl 0817.20038
Bass, Hyman; Lubotzky, Alexander
1994
Modules which support nonsingular forms. Zbl 0179.05401
Bass, H.
1969
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
2002
Polynomial flows in the plane. Zbl 0557.34044
Bass, Hyman; Meisters, Gary
1985
Bass, Hyman
1958
Nonarithmetic superrigid groups: Counterexamples to Platonov’s conjecture. Zbl 0963.22005
Bass, Hyman; Lubotzky, Alexander
2000
Automorphism groups of tree actions and of graphs of groups. Zbl 0862.20021
Bass, Hyman; Jiang, Renfang
1996
The stable structure of quite general linear groups. Zbl 0232.20092
Bass, Hyman
1964
L$$_3$$ of finite Abelian groups. Zbl 0293.18020
Bass, Hyman
1974
Localisation in the K-theory of invertible algebras. Zbl 0367.13004
Bass, H.; Wright, D.
1976
Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006
Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M.
1994
Some equivariant K-theory of affine algebraic group actions. Zbl 0612.14047
Bass, H.; Haboush, W.
1987
Rigidity of group actions on locally finite trees. Zbl 0808.20031
Bass, Hyman; Lubotzky, Alexander
1994
Contributions to algebra. A collection of papers dedicated to Ellis Kolchin. Zbl 0354.00011
Bass, Hyman (ed.); Cassidy, Phyllis J. (ed.); Kovacic, Jerald (ed.)
1977
Liberation de modules projectifs sur certains anneaux de polynômes. Zbl 0304.13012
Bass, Hyman
1975
The homotopy theory of projective modules. Zbl 0108.26402
Bass, H.; Schanuel, S.
1962
Some hybrid symplectic group phenomena. Zbl 0402.20037
Bass, Hyman; Pardon, William
1978
Traces and Euler characteristics. Zbl 0425.20006
Bass, Hyman
1979
Locally polynomial algebras are symmetric. Zbl 0362.13005
Bass, H.; Connell, E. H.; Wright, D. L.
1976
Differential structure of étale extensions of polynomial algebras. Zbl 0752.13008
Bass, Hyman
1989
Projective modules with free multiples and powers. Zbl 0585.13003
Bass, Hyman; Guralnick, Robert
1986
The Jacobian conjecture and inverse degrees. Zbl 0527.13004
Bass, Hyman
1983
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. Zbl 0265.00008
Bass, H. (ed.)
1973
A property of profinite groups and the converse of classical Galois theory. Zbl 0284.20037
Bass, H.; Soundararajan, T.
1972
Quadratic modules over polynomial rings. Zbl 0373.13010
Bass, Hyman
1977
Algebraic group actions on affine spaces. Zbl 0587.14031
Bass, Hyman
1985
Finitely generated subgroups of $$GL_ 2$$ (chapter VI). Zbl 0599.57003
Bass, H.
1984
Algebraic $$K$$-theory and its applications. Proceedings of the workshop and symposium, ICTP, Trieste, Italy, September 1–19, 1997. Zbl 0949.00018
Bass, H. (ed.); Kuku, A. O. (ed.); Pedrini, C. (ed.)
1999
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. Zbl 0265.00009
Bass, H. (ed.)
1973
Is SK$$_1$$(Z$$\pi$$)=0 for $$\pi$$ a finite abelian group. Zbl 0279.20008
Bass, Hyman
1973
On a functional property of power residue symbols. Zbl 0297.20054
Bass, Hyman; Milnor, John W.; Serre, Jean-Pierre
1974
A remark on a arithmetic theorem of Chevalley. Zbl 0131.03506
Bass, H.
1965
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0211.04404
Bass, H.; Milnor, John; Serre, Jean-Pierre
1970
Automorphismes de schemas et de groupes de type fini. Zbl 0516.57003
Bass, Hyman
1982
Automorphisms of polynomial rings. Zbl 0517.14014
Bass, Hyman
1983
Theorems of Jordan and Burnside for algebraic groups. Zbl 0506.20016
Bass, Hyman
1983
$$K_2$$ des corps globaux (d’apres Tate, Garland,…). Zbl 0307.12011
Bass, Hyman
1971
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, Seattle/WA (USA), Aug. 28-Sept. 8, 1972. 2nd printing. Zbl 0683.18002
Bass, H. (ed.)
1986
Personal reminiscences of the birth of algebraic $$K$$-theory. Zbl 1044.19001
Bass, Hyman
2003
Linearizing flat families of reductive group representations. Zbl 0707.14042
Bass, Hyman
1989
Samuel Eilenberg (1913-1998). Zbl 0908.01023
Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders
1998
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0229.20044
Bass, H.; Milnor, Dz.; Serr, Z.-P.
1971
Torsion in the Picard group and extension of scalars. Zbl 0655.13005
Bass, H.; Guralnick, R.
1988
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
2016
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Artin, Michael; Jackson, Allyn; Mumford, David; Tate, John; Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
2016
Personal reminiscences of the birth of algebraic $$K$$-theory. Zbl 1044.19001
Bass, Hyman
2003
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
2002
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
2001
Nonarithmetic superrigid groups: Counterexamples to Platonov’s conjecture. Zbl 0963.22005
Bass, Hyman; Lubotzky, Alexander
2000
Algebraic $$K$$-theory and its applications. Proceedings of the workshop and symposium, ICTP, Trieste, Italy, September 1–19, 1997. Zbl 0949.00018
Bass, H.; Kuku, A. O.; Pedrini, C.
1999
Samuel Eilenberg (1913-1998). Zbl 0908.01023
Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders
1998
Automorphism groups of tree actions and of graphs of groups. Zbl 0862.20021
Bass, Hyman; Jiang, Renfang
1996
Master-slave synchronization from the point of view of global dynamics. Zbl 1055.34506
Tresser, Charles; Worfolk, Patrick A.; Bass, Hyman
1995
Cyclic renormalization and automorphism groups of rooted trees. Zbl 0847.58019
Bass, Hyman; Otero-Espinar, Maria Victoria; Rockmore, Daniel; Tresser, Charles
1995
Linear-central filtrations on groups. Zbl 0817.20038
Bass, Hyman; Lubotzky, Alexander
1994
Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006
Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M.
1994
Rigidity of group actions on locally finite trees. Zbl 0808.20031
Bass, Hyman; Lubotzky, Alexander
1994
Covering theory for graphs of groups. Zbl 0805.57001
Bass, Hyman
1993
The Ihara-Selberg zeta function of a tree lattice. Zbl 0767.11025
Bass, Hyman
1992
Group actions on non-archimedean trees. Zbl 0826.20026
Bass, Hyman
1991
Uniform tree lattices. Zbl 0734.05052
Bass, Hyman; Kulkarni, Ravi
1990
Differential structure of étale extensions of polynomial algebras. Zbl 0752.13008
Bass, Hyman
1989
Linearizing flat families of reductive group representations. Zbl 0707.14042
Bass, Hyman
1989
Torsion in the Picard group and extension of scalars. Zbl 0655.13005
Bass, H.; Guralnick, R.
1988
Length functions of group actions on $$\Lambda$$-trees. Zbl 0978.20500
Alperin, Roger; Bass, Hyman
1987
Some equivariant K-theory of affine algebraic group actions. Zbl 0612.14047
Bass, H.; Haboush, W.
1987
Projective modules with free multiples and powers. Zbl 0585.13003
Bass, Hyman; Guralnick, Robert
1986
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, Seattle/WA (USA), Aug. 28-Sept. 8, 1972. 2nd printing. Zbl 0683.18002
Bass, H.
1986
Linearizing certain reductive group actions. Zbl 0602.14047
Bass, H.; Haboush, W.
1985
Polynomial flows in the plane. Zbl 0557.34044
Bass, Hyman; Meisters, Gary
1985
Algebraic group actions on affine spaces. Zbl 0587.14031
Bass, Hyman
1985
The Smith conjecture. Zbl 0599.57001
Morgan, John W.; Bass, Hyman
1984
A non-triangular action of $${\mathbb{G}}_ a$$ on $${\mathbb{A}}^ 3$$. Zbl 0555.14019
Bass, Hyman
1984
Finitely generated subgroups of $$GL_ 2$$ (chapter VI). Zbl 0599.57003
Bass, H.
1984
Automorphisms of groups and of schemes of finite type. Zbl 0517.14015
Bass, Hyman; Lubotzky, Alexander
1983
The Jacobian conjecture and inverse degrees. Zbl 0527.13004
Bass, Hyman
1983
Automorphisms of polynomial rings. Zbl 0517.14014
Bass, Hyman
1983
Theorems of Jordan and Burnside for algebraic groups. Zbl 0506.20016
Bass, Hyman
1983
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse. Zbl 0539.13012
Bass, Hyman; Connell, Edwin H.; Wright, David
1982
Automorphismes de schemas et de groupes de type fini. Zbl 0516.57003
Bass, Hyman
1982
Groups of integral representation type. Zbl 0444.20006
Bass, Hyman
1980
Traces and Euler characteristics. Zbl 0425.20006
Bass, Hyman
1979
Some hybrid symplectic group phenomena. Zbl 0402.20037
Bass, Hyman; Pardon, William
1978
Locally polynomial algebras are symmetric algebras. Zbl 0371.13007
Bass, H.; Connell, E. H.; Wright, D. L.
1977
Contributions to algebra. A collection of papers dedicated to Ellis Kolchin. Zbl 0354.00011
Bass, Hyman; Cassidy, Phyllis J.; Kovacic, Jerald
1977
Quadratic modules over polynomial rings. Zbl 0373.13010
Bass, Hyman
1977
Euler characteristics and characters of discrete groups. Zbl 0365.20008
Bass, Hyman
1976
Some remarks on group actions on trees. Zbl 0383.20021
Bass, Hyman
1976
Localisation in the K-theory of invertible algebras. Zbl 0367.13004
Bass, H.; Wright, D.
1976
Locally polynomial algebras are symmetric. Zbl 0362.13005
Bass, H.; Connell, E. H.; Wright, D. L.
1976
Liberation de modules projectifs sur certains anneaux de polynômes. Zbl 0304.13012
Bass, Hyman
1975
Clifford algebras and spinor norms over a commutative ring. Zbl 0344.15017
Bass, Hyman
1974
Introduction to some methods of algebraic K-theory. Zbl 0323.18007
Bass, Hyman
1974
L$$_3$$ of finite Abelian groups. Zbl 0293.18020
Bass, Hyman
1974
On a functional property of power residue symbols. Zbl 0297.20054
Bass, Hyman; Milnor, John W.; Serre, Jean-Pierre
1974
The Milnor ring of a global field. Zbl 0299.12013
Bass, H.; Tate, J.
1973
Unitary algebraic $$K$$-theory. Zbl 0299.18005
Bass, Hyman
1973
Some problems in “classical” algebraic $$K$$-theory. Zbl 0384.18008
Bass, Hyman
1973
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. Zbl 0265.00008
Bass, H.
1973
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. Zbl 0265.00009
Bass, H.
1973
Is SK$$_1$$(Z$$\pi$$)=0 for $$\pi$$ a finite abelian group. Zbl 0279.20008
Bass, Hyman
1973
The degree of polynomial growth of finitely generated nilpotent groups. Zbl 0259.20045
Bass, H.
1972
A property of profinite groups and the converse of classical Galois theory. Zbl 0284.20037
Bass, H.; Soundararajan, T.
1972
Descending chains and the Krull ordinal of commutative Noetherian rings. Zbl 0226.13009
Bass, Hyman
1971
$$K_2$$ des corps globaux (d’apres Tate, Garland,…). Zbl 0307.12011
Bass, Hyman
1971
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0229.20044
Bass, H.; Milnor, Dz.; Serr, Z.-P.
1971
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0211.04404
Bass, H.; Milnor, John; Serre, Jean-Pierre
1970
Modules which support nonsingular forms. Zbl 0179.05401
Bass, H.
1969
Algebraic $$K$$-theory. Zbl 0174.30302
Bass, Hyman
1968
Solution of the congruence subgroup problem for $$\text{SL}_ n$$ $$(n\geq 3)$$ and $$\text{Sp}_{2n}$$ $$(n\geq 2)$$. Zbl 0174.05203
Bass, H.; Milnor, John W.; Serre, Jean-Pierre
1967
Grothendieck groups and Picard groups of abelian group rings. Zbl 0157.08202
Bass, H.; Murthy, M. P.
1967
Lectures on topics in algebraic K-theory. Zbl 0226.13006
Bass, Hyman
1967
The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups. Zbl 0166.02401
Bass, H.
1966
Generators and relations for cyclotomic units. Zbl 0144.29403
Bass, H.
1966
A remark on a arithmetic theorem of Chevalley. Zbl 0131.03506
Bass, H.
1965
$$K$$-theory and stable algebra. Zbl 0248.18025
Bass, H.
1964
The Whitehead group of a polynomial extension. Zbl 0248.18026
Bass, H.; Heller, A.; Swan, R. G.
1964
Subgroups of finite index in $$\mathrm{SL}(n,\mathbb Z)$$. (Sous-groupes d’indice fini dans $$\mathrm{SL}(n,\mathbb Z)$$.) Zbl 0232.20086
Bass, H.; Lazard, M.; Serre, Jean-Pierre
1964
Projective modules over free groups are free. Zbl 0145.26604
Bass, Hyman
1964
The stable structure of quite general linear groups. Zbl 0232.20092
Bass, Hyman
1964
On the ubiquity of Gorenstein rings. Zbl 0112.26604
Bass, H.
1963
Big projective modules are free. Zbl 0115.26003
Bass, H.
1963
Injective dimension in Noetherian rings. Zbl 0126.06503
Bass, H.
1962
Torsion free and projective modules. Zbl 0103.02304
Bass, H.
1962
The homotopy theory of projective modules. Zbl 0108.26402
Bass, H.; Schanuel, S.
1962
Projective modules over algebras. Zbl 0113.26003
Bass, Hyman
1961
Finitistic dimension and a homological generalization of semiprimary rings. Zbl 0094.02201
Bass, Hyman
1960
Bass, Hyman
1958
all top 5

#### Cited by 2,968 Authors

 53 Sato, Iwao 32 Vavilov, Nikolaĭ Aleksandrovich 31 van den Essen, Arno 29 Vaserstein, Leonid N. 26 Zhao, Wenhua 25 Bass, Hyman 20 Rao, Ravi A. 19 Mizuno, Hirobumi 19 Swan, Richard Gordon 19 Weibel, Charles A. 17 Yu, Jie-Tai 16 Enochs, Edgar E. 16 Wiegand, Roger Allen 15 Lubotzky, Alexander 15 Mason, Alexander W. 15 Sharp, Rodney Y. 15 Vasconcelos, Wolmer V. 14 Hazrat, Roozbeh 14 Jespers, Eric 14 Sun, Xiaosong 13 Konno, Norio 12 Connell, Edwin H. 12 Farrell, F. Thomas 12 Mimouni, Abdeslam 12 Parimala, Raman 11 Bhatwadekar, Srikant M. 11 de Bondt, Michiel 11 Drozd, Yuriĭ Anatoliĭovych 11 Kyrychenko, Volodymyr Vasyl’ovych 11 Mitsuhashi, Hideo 11 Ojanguren, Manuel 11 Reid, Alan W. 11 Stafford, J. Toby 10 Bazzoni, Silvana 10 Caenepeel, Stefaan 10 Carbone, Lisa J. 10 Facchini, Alberto 10 Fuchs, László 10 Furter, Jean-Philippe 10 Guralnick, Robert Michael 10 Isaev, Alexander 10 Ischebeck, Friedrich 10 Kustin, Andrew R. 10 Magid, Andy Roy 10 Rupp, Rudolf 10 Wright, David L. 10 Zhang, Zuhong 9 Bak, Anthony 9 Bergman, George M. 9 Cheng, Charles Ching-An 9 Deitmar, Anton 9 del Río, Angel 9 Ding, Nanqing 9 Gersten, Stephen M. 9 Huang, Zhaoyong 9 Karoubi, Max 9 Keshari, Manoj Kumar 9 Levy, Lawrence S. 9 Magurn, Bruce A. 9 Nastasescu, Constantin 9 Olberding, Bruce M. 9 Ranicki, Andrew A. 9 Rush, David E. 9 Stein, Michael R. 9 Suslin, Andreĭ Aleksandrovich 9 van Oystaeyen, Freddy 8 Bavula, Vladimir V. 8 Dennis, Roger Keith 8 Emmanouil, Ioannis 8 Foxby, Hans-Bjørn 8 Haefner, Jeremy 8 Knus, Max-Albert 8 Kuku, Aderemi O. 8 Passi, Inder Bir Singh 8 Roberts, Leslie G. 8 Zimmermann-Huisgen, Birge 7 Anderson, David Fenimore 7 Corach, Gustavo 7 Davis, James Frederic 7 de Cornulier, Yves 7 Dutta, Amartya Kumar 7 El Kahoui, M’hammed 7 Fuller, Kent R. 7 Gubeladze, Joseph 7 Herbera, Dolors 7 Hoshino, Mitsuo 7 Jenda, Overtoun M. G. 7 Levitt, Gilbert 7 Lim, Seonhee 7 Long, Darren D. 7 Lucas, Thomas George 7 Lück, Wolfgang 7 Masuda, Kayo 7 Morita, Hideaki 7 Mortini, Raymond 7 Myasnikov, Alexei G. 7 Oliver, Bob 7 Rapinchuk, Andrei S. 7 Roggenkamp, Klaus W. 7 Sehgal, Sudarshan Kumar ...and 2,868 more Authors
all top 5

#### Cited in 315 Serials

 532 Journal of Algebra 384 Journal of Pure and Applied Algebra 181 Proceedings of the American Mathematical Society 173 Transactions of the American Mathematical Society 171 Communications in Algebra 105 Mathematische Zeitschrift 103 Inventiones Mathematicae 83 Linear Algebra and its Applications 74 Mathematische Annalen 72 Advances in Mathematics 69 Archiv der Mathematik 46 Bulletin of the American Mathematical Society 44 Mathematical Notes 42 Journal of Algebra and its Applications 41 Manuscripta Mathematica 40 Israel Journal of Mathematics 37 Compositio Mathematica 36 Duke Mathematical Journal 36 Topology and its Applications 35 Journal of Mathematical Sciences (New York) 34 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 32 $$K$$-Theory 30 Mathematical Proceedings of the Cambridge Philosophical Society 30 Annales de l’Institut Fourier 25 Geometry & Topology 24 International Journal of Algebra and Computation 24 Algebras and Representation Theory 24 Algebraic & Geometric Topology 23 Journal of Soviet Mathematics 21 Discrete Mathematics 21 Rocky Mountain Journal of Mathematics 21 Glasgow Mathematical Journal 21 Groups, Geometry, and Dynamics 20 Journal of Number Theory 20 Bulletin of the American Mathematical Society. New Series 19 Geometriae Dedicata 19 Publications Mathématiques 18 Journal of Group Theory 17 Bulletin of the Australian Mathematical Society 16 Linear and Multilinear Algebra 16 Proceedings of the Edinburgh Mathematical Society. Series II 16 Rendiconti del Seminario Matematico della Università di Padova 15 Ukrainian Mathematical Journal 13 Journal of the American Mathematical Society 12 Siberian Mathematical Journal 12 Tohoku Mathematical Journal. Second Series 11 Geometric and Functional Analysis. GAFA 10 Journal of Combinatorial Theory. Series B 10 Journal of Functional Analysis 10 Nagoya Mathematical Journal 9 Bulletin de la Société Mathématique de France 9 Graphs and Combinatorics 9 Annals of Mathematics. Second Series 9 Proceedings of the Japan Academy 9 Journal of $$K$$-Theory 9 Journal of Commutative Algebra 8 Acta Mathematica 8 Algebra and Logic 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal für die Reine und Angewandte Mathematik 8 Monatshefte für Mathematik 8 St. Petersburg Mathematical Journal 8 Transformation Groups 8 Journal of the European Mathematical Society (JEMS) 8 Journal of Homotopy and Related Structures 7 Memoirs of the American Mathematical Society 7 Semigroup Forum 7 European Journal of Combinatorics 7 Ergodic Theory and Dynamical Systems 7 Indagationes Mathematicae. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Chaos 7 Journal of the Australian Mathematical Society 7 Bulletin de la Société Mathématique de France. Supplément. Mémoires 7 Journal of Topology and Analysis 6 Journal of Mathematical Analysis and Applications 6 Arkiv för Matematik 6 Mathematics of Computation 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 6 Czechoslovak Mathematical Journal 6 Illinois Journal of Mathematics 6 The Journal of Geometric Analysis 6 Expositiones Mathematicae 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Journal of Geometry and Physics 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Acta Mathematica Hungarica 5 Applied Mathematics Letters 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Acta Mathematica Sinica. New Series 5 Journal of Algebraic Combinatorics 5 Journal of Algebraic Geometry 5 Selecta Mathematica. New Series 5 Documenta Mathematica 5 Proceedings of the Steklov Institute of Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Applied Mathematics and Computational Mechanics 4 Communications in Mathematical Physics 4 Indian Journal of Pure & Applied Mathematics 4 Journal d’Analyse Mathématique ...and 215 more Serials
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#### Cited in 55 Fields

 984 Associative rings and algebras (16-XX) 958 Commutative algebra (13-XX) 839 Group theory and generalizations (20-XX) 652 Algebraic geometry (14-XX) 393 Category theory; homological algebra (18-XX) 389 Number theory (11-XX) 318 Manifolds and cell complexes (57-XX) 302 $$K$$-theory (19-XX) 228 Combinatorics (05-XX) 158 Linear and multilinear algebra; matrix theory (15-XX) 134 Topological groups, Lie groups (22-XX) 133 Algebraic topology (55-XX) 98 Dynamical systems and ergodic theory (37-XX) 85 Several complex variables and analytic spaces (32-XX) 81 Functional analysis (46-XX) 79 Nonassociative rings and algebras (17-XX) 58 Field theory and polynomials (12-XX) 43 Differential geometry (53-XX) 41 Mathematical logic and foundations (03-XX) 37 Global analysis, analysis on manifolds (58-XX) 32 Functions of a complex variable (30-XX) 32 Probability theory and stochastic processes (60-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 28 Ordinary differential equations (34-XX) 25 Computer science (68-XX) 23 Abstract harmonic analysis (43-XX) 22 Geometry (51-XX) 22 General topology (54-XX) 20 Partial differential equations (35-XX) 20 Operator theory (47-XX) 20 Quantum theory (81-XX) 12 General algebraic systems (08-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 11 Real functions (26-XX) 10 Convex and discrete geometry (52-XX) 9 History and biography (01-XX) 9 Measure and integration (28-XX) 6 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operations research, mathematical programming (90-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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