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Waterhouse, William C.

Author ID: waterhouse.william-c Recent zbMATH articles by "Waterhouse, William C."
Published as: Waterhouse, William C.; Waterhouse, W. C.; Waterhouse, W.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 129 Publications since 1965, including 1 Book
2 Further Contributions
Co-Authors: 10 Co-Authors with 10 Joint Publications
89 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 1,146 times in 1,020 Documents Cited by Year
Introduction to affine group schemes. Zbl 0442.14017
Waterhouse, William C.
310
1979
Abelian varieties over finite fields. Zbl 0188.53001
Waterhouse, W. C.
221
1969
One-dimensional affine group schemes. Zbl 0452.14013
Waterhouse, William C.; Weisfeiler, Boris
36
1980
Pairs of quadratic forms. Zbl 0337.10015
Waterhouse, William C.
26
1976
Abstract homomorphisms of algebraic groups: problems and bibliography. Zbl 0452.20045
James, D.; Waterhouse, W.; Weisfeiler, Boris
23
1981
Abelian varieties over finite fields. Zbl 0216.33102
Waterhouse, W. C.; Milne, J. S.
23
1971
Nonassociative quaternion algebras. Zbl 0643.17001
Waterhouse, William C.
22
1987
Automorphisms of \(GL_n(R)\). Zbl 0442.20027
Waterhouse, William C.
21
1980
Automorphism schemes and forms of Witt Lie algebras. Zbl 0212.25602
Waterhouse, W. C.
21
1971
Automorphisms of \(\det (X_{ij}):\) The group scheme approach. Zbl 0651.14028
Waterhouse, William C.
20
1987
The codimension of singular matrix pairs. Zbl 0526.15006
Waterhouse, William C.
20
1984
The normal closures of certain Kummer extensions. Zbl 0794.12003
Waterhouse, William C.
18
1994
Principal homogeneous spaces and group scheme extensions. Zbl 0208.48401
Waterhouse, W. C.
17
1971
The structure of inseparable field extentions. Zbl 0315.12101
Waterhouse, William C.
17
1975
Projective modules over rings with many units. Zbl 0493.13003
McDonald, B. R.; Waterhouse, William C.
15
1981
An empty inverse limit. Zbl 0259.54008
Waterhouse, William C.
13
1973
Invertibility of linear maps preserving matrix invariants. Zbl 0516.15007
Waterhouse, William C.
13
1983
Profinite groups are Galois groups. Zbl 0281.20031
Waterhouse, William C.
12
1974
On UC spaces. Zbl 0136.19802
Waterhouse, W. C.
12
1965
Do symmetric problems have symmetric solutions? Zbl 0533.26008
Waterhouse, William C.
12
1983
Disquisitiones arithmeticae. Transl. from the Latin by Arthur A. Clarke, Rev. by William C. Waterhouse, with the help of Cornelius Greither and A. W. Grootendorst. (Reprint of the 1966 ed.). Zbl 0585.10001
Gauß, Carl Friedrich
11
1986
A unified Kummer-Artin-Schreier sequence. Zbl 0608.12026
Waterhouse, William C.
11
1987
Moore’s theorem on uniqueness of reciprocity laws. Zbl 0245.12009
Chase, Stephen U.; Waterhouse, William C.
10
1972
The discovery of the regular solids. Zbl 0255.01002
Waterhouse, William C.
9
1972
The unit groups of affine algebraic monoids. Zbl 0517.20043
Waterhouse, William C.
9
1982
Antipodes and group-likes in finite Hopf algebras. Zbl 0315.16007
Waterhouse, William C.
9
1975
Automorphisms of quotients of \(\prod GL(n_i)\). Zbl 0504.20028
Waterhouse, William C.
8
1982
Pieces of eight in class groups of quadratic fields. Zbl 0219.12006
Waterhouse, W. C.
8
1973
The Stone-Weierstrass theorem for valuable fields. Zbl 0172.41402
Chernoff, P. R.; Rasala, R. A.; Waterhouse, W. C.
7
1968
The number of congruence classes in \(M_ n(\mathbb{F}_ q)\). Zbl 0819.15012
Waterhouse, William C.
7
1995
Two generators for the general linear groups over finite fields. Zbl 0702.20050
Waterhouse, William C.
7
1989
Self-adjoint operators and formally real fields. Zbl 0331.12102
Waterhouse, William C.
7
1976
Pairs of symmetric bilinear forms in characteristic 2. Zbl 0362.15015
Waterhouse, William C.
7
1976
Gauss’s first argument for least squares. Zbl 0766.01022
Waterhouse, William C.
6
1990
Dual groups of vector spaces. Zbl 0162.44102
Waterhouse, W. C.
6
1968
Automorphisms of the Bruhat order on Coxeter groups. Zbl 0674.20026
Waterhouse, William C.
6
1989
Basically bounded functors and flat sheaves. Zbl 0316.14008
Waterhouse, William C.
6
1975
The early proofs of Sylow’s theorem. Zbl 0436.01006
Waterhouse, William C.
6
1979
Scaled trace forms over number fields. Zbl 0607.10013
Waterhouse, W. C.
6
1986
Geometrically reductive affine group schemes. Zbl 0804.14022
Waterhouse, William C.
5
1994
A conjectured property of Hermitian pencils. Zbl 0516.15006
Waterhouse, William C.
5
1983
Circulant-style matrices closed under multiplication. Zbl 0593.15018
Waterhouse, William C.
5
1985
Linear transformations preserving symmetric rank one matrices. Zbl 0692.15011
Waterhouse, William C.
5
1989
Notes toward higher differential algebra. Zbl 0323.12104
Waterhouse, William C.
5
1976
Discriminants of etale algebras and related structures. Zbl 0609.13006
Waterhouse, William C.
5
1987
Maximal orders in nonassociative quaternion algebras. Zbl 0759.17002
Lee, Hee Jung; Waterhouse, William C.
4
1992
Divisor classes in pseudo-Galois extensions. Zbl 0187.00504
Waterhouse, William C.
4
1971
The absolute-value estimate for symmetric multilinear forms. Zbl 0699.15012
Waterhouse, William C.
4
1990
Similarity of matrices under SL(n,K). Zbl 0563.15008
Waterhouse, William C.
4
1984
On linear transformations preserving rank one matrices over commutative rings. Zbl 0566.15005
Waterhouse, William C.
4
1985
The structure of alternating-Hamiltonian matrices. Zbl 1066.15025
Waterhouse, William C.
4
2005
Linear maps preserving reduced norms. Zbl 0482.16018
Waterhouse, William C.
4
1982
A nonsymmetric Hasse-Minkowski theorem. Zbl 0359.10020
Waterhouse, William C.
4
1977
The g-circulant solutions of \(A^ m=\lambda J\). Zbl 0608.15008
Ma, S. L.; Waterhouse, William C.
4
1987
Differentiable functions on algebras and the equation \(\text{grad}(w)=M\text{ grad}(v)\). Zbl 0813.35064
Waterhouse, William C.
3
1992
Real classification of complex quadrics. Zbl 0503.51018
Waterhouse, William C.
3
1982
Retractions of separable commutative algebras. Zbl 0806.16016
Waterhouse, William C.
3
1993
Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar. Zbl 0589.15002
Waterhouse, William C.
3
1986
Twisted forms of the determinant. Zbl 0531.10025
Waterhouse, William C.
3
1984
Symmetric determinants and Jordan norm similarities in characteristic 2. Zbl 0564.15002
Waterhouse, William C.
3
1985
Quadratic polynomials and unique factorization. Zbl 1036.13004
Waterhouse, William C.
3
2002
A non-criterion for central simple algebras. Zbl 0245.16006
Waterhouse, William C.
3
1973
Displacement operators relative to group matrices. Zbl 0758.15009
Waterhouse, William C.
2
1992
Analyzing some generalized analytic functions. Zbl 0754.30037
Waterhouse, William C.
2
1992
Invariant bilinear forms on semisimple Lie algebras. Zbl 0771.17008
Waterhouse, William C.
2
1992
Harmonic means and Diophantus I.39. Zbl 0767.01008
Waterhouse, William C.
2
1993
Class groups of rings of invariants. Zbl 0376.14006
Waterhouse, William C.
2
1977
A probable Hasse principle for pencils of quadrics. Zbl 0394.10013
Waterhouse, William C.
2
1978
The sign of the Gaussian sum. Zbl 0197.32003
Waterhouse, W. C.
2
1970
Automorphism group schemes of semisimple cosemisimple Hopf algebras. Zbl 0793.16031
Waterhouse, William C.
2
1993
Automorphisms and twisted forms of generalized Witt Lie algebras. Zbl 0733.17007
Waterhouse, William C.
2
1991
On p-divisible groups over complete valuation rings. Zbl 0227.14018
Waterhouse, William C.
2
1972
Gauss on infinity. Zbl 0425.01003
Waterhouse, William C.
2
1979
Subgroups of \(ax+b\) and the splitting of triangular group schemes. Zbl 0442.14018
Waterhouse, William C.
2
1980
Intersections of two cofinite subfields. Zbl 1054.12002
Waterhouse, William C.
2
2004
How often do determinants over finite fields vanish? Zbl 0623.15001
Waterhouse, William C.
2
1987
Some errors in applied mathematics. Zbl 0376.90001
Waterhouse, William C.
1
1977
Pairs of forms and pencils of quadrics. Zbl 0394.10012
Waterhouse, William C.
1
1977
The normal basis theorem. Zbl 0411.12019
Waterhouse, William C.
1
1979
Cochran’s theorem for rings. Zbl 1005.15019
Waterhouse, William C.
1
2001
A unified version of the primitive and normal basis theorems. Zbl 0798.12003
Waterhouse, William C.
1
1994
A counterexample for Germain. Zbl 0822.11002
Waterhouse, William C.
1
1994
Tame objects for finite commutative Hopf algebras. Zbl 0654.16004
Waterhouse, William C.
1
1988
A tiny note on Gauss’s lemma. Zbl 0663.12002
Waterhouse, William C.
1
1988
Composition and genera of norm-type forms. Zbl 0537.10015
Waterhouse, William C.
1
1984
The density of supersingular Fermat varieties. Zbl 0545.10034
Waterhouse, William C.
1
1984
Composition of norm-type forms. Zbl 0572.10018
Waterhouse, William C.
1
1984
Square root as a homomorphism. Zbl 1267.12003
Waterhouse, William C.
1
2012
The heights of formal A-modules. Zbl 0295.14021
Waterhouse, William C.
1
1974
Polarization formulas over separable algebras. Zbl 0834.16014
Waterhouse, William C.
1
1995
Orthogonal similarity and pairs of quadratic forms. Zbl 0851.11022
Waterhouse, William C.
1
1995
Automorphism group schemes of basic matrix invariants. Zbl 0858.14025
Waterhouse, William C.
1
1995
On the ranks of skew centrosymmetric matrices over finite fields. Zbl 0909.15006
Waterhouse, William C.
1
1998
Commutative polynomial group laws over valuation rings. Zbl 0435.14011
Waterhouse, William C.
1
1980
Polynomial group laws over valuation rings. Zbl 0437.14026
Waterhouse, William C.
1
1982
The module structure of certain Hopf algebra extensions. Zbl 0478.16004
Waterhouse, William C.
1
1982
The aesthetic viewpoint in mathematics. Zbl 0606.01024
Krull, Wolfgang
1
1987
A note on Fan’s identity for symmetric bilinear forms. Zbl 0617.15019
Waterhouse, William C.
1
1987
Square root as a homomorphism. Zbl 1267.12003
Waterhouse, William C.
1
2012
The structure of alternating-Hamiltonian matrices. Zbl 1066.15025
Waterhouse, William C.
4
2005
Intersections of two cofinite subfields. Zbl 1054.12002
Waterhouse, William C.
2
2004
Quadratic polynomials and unique factorization. Zbl 1036.13004
Waterhouse, William C.
3
2002
Cochran’s theorem for rings. Zbl 1005.15019
Waterhouse, William C.
1
2001
On the ranks of skew centrosymmetric matrices over finite fields. Zbl 0909.15006
Waterhouse, William C.
1
1998
The number of congruence classes in \(M_ n(\mathbb{F}_ q)\). Zbl 0819.15012
Waterhouse, William C.
7
1995
Polarization formulas over separable algebras. Zbl 0834.16014
Waterhouse, William C.
1
1995
Orthogonal similarity and pairs of quadratic forms. Zbl 0851.11022
Waterhouse, William C.
1
1995
Automorphism group schemes of basic matrix invariants. Zbl 0858.14025
Waterhouse, William C.
1
1995
The normal closures of certain Kummer extensions. Zbl 0794.12003
Waterhouse, William C.
18
1994
Geometrically reductive affine group schemes. Zbl 0804.14022
Waterhouse, William C.
5
1994
A unified version of the primitive and normal basis theorems. Zbl 0798.12003
Waterhouse, William C.
1
1994
A counterexample for Germain. Zbl 0822.11002
Waterhouse, William C.
1
1994
Retractions of separable commutative algebras. Zbl 0806.16016
Waterhouse, William C.
3
1993
Harmonic means and Diophantus I.39. Zbl 0767.01008
Waterhouse, William C.
2
1993
Automorphism group schemes of semisimple cosemisimple Hopf algebras. Zbl 0793.16031
Waterhouse, William C.
2
1993
Maximal orders in nonassociative quaternion algebras. Zbl 0759.17002
Lee, Hee Jung; Waterhouse, William C.
4
1992
Differentiable functions on algebras and the equation \(\text{grad}(w)=M\text{ grad}(v)\). Zbl 0813.35064
Waterhouse, William C.
3
1992
Displacement operators relative to group matrices. Zbl 0758.15009
Waterhouse, William C.
2
1992
Analyzing some generalized analytic functions. Zbl 0754.30037
Waterhouse, William C.
2
1992
Invariant bilinear forms on semisimple Lie algebras. Zbl 0771.17008
Waterhouse, William C.
2
1992
Automorphisms and twisted forms of generalized Witt Lie algebras. Zbl 0733.17007
Waterhouse, William C.
2
1991
Gauss’s first argument for least squares. Zbl 0766.01022
Waterhouse, William C.
6
1990
The absolute-value estimate for symmetric multilinear forms. Zbl 0699.15012
Waterhouse, William C.
4
1990
Two generators for the general linear groups over finite fields. Zbl 0702.20050
Waterhouse, William C.
7
1989
Automorphisms of the Bruhat order on Coxeter groups. Zbl 0674.20026
Waterhouse, William C.
6
1989
Linear transformations preserving symmetric rank one matrices. Zbl 0692.15011
Waterhouse, William C.
5
1989
Tame objects for finite commutative Hopf algebras. Zbl 0654.16004
Waterhouse, William C.
1
1988
A tiny note on Gauss’s lemma. Zbl 0663.12002
Waterhouse, William C.
1
1988
Nonassociative quaternion algebras. Zbl 0643.17001
Waterhouse, William C.
22
1987
Automorphisms of \(\det (X_{ij}):\) The group scheme approach. Zbl 0651.14028
Waterhouse, William C.
20
1987
A unified Kummer-Artin-Schreier sequence. Zbl 0608.12026
Waterhouse, William C.
11
1987
Discriminants of etale algebras and related structures. Zbl 0609.13006
Waterhouse, William C.
5
1987
The g-circulant solutions of \(A^ m=\lambda J\). Zbl 0608.15008
Ma, S. L.; Waterhouse, William C.
4
1987
How often do determinants over finite fields vanish? Zbl 0623.15001
Waterhouse, William C.
2
1987
The aesthetic viewpoint in mathematics. Zbl 0606.01024
Krull, Wolfgang
1
1987
A note on Fan’s identity for symmetric bilinear forms. Zbl 0617.15019
Waterhouse, William C.
1
1987
Disquisitiones arithmeticae. Transl. from the Latin by Arthur A. Clarke, Rev. by William C. Waterhouse, with the help of Cornelius Greither and A. W. Grootendorst. (Reprint of the 1966 ed.). Zbl 0585.10001
Gauß, Carl Friedrich
11
1986
Scaled trace forms over number fields. Zbl 0607.10013
Waterhouse, W. C.
6
1986
Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar. Zbl 0589.15002
Waterhouse, William C.
3
1986
Circulant-style matrices closed under multiplication. Zbl 0593.15018
Waterhouse, William C.
5
1985
On linear transformations preserving rank one matrices over commutative rings. Zbl 0566.15005
Waterhouse, William C.
4
1985
Symmetric determinants and Jordan norm similarities in characteristic 2. Zbl 0564.15002
Waterhouse, William C.
3
1985
The codimension of singular matrix pairs. Zbl 0526.15006
Waterhouse, William C.
20
1984
Similarity of matrices under SL(n,K). Zbl 0563.15008
Waterhouse, William C.
4
1984
Twisted forms of the determinant. Zbl 0531.10025
Waterhouse, William C.
3
1984
Composition and genera of norm-type forms. Zbl 0537.10015
Waterhouse, William C.
1
1984
The density of supersingular Fermat varieties. Zbl 0545.10034
Waterhouse, William C.
1
1984
Composition of norm-type forms. Zbl 0572.10018
Waterhouse, William C.
1
1984
Invertibility of linear maps preserving matrix invariants. Zbl 0516.15007
Waterhouse, William C.
13
1983
Do symmetric problems have symmetric solutions? Zbl 0533.26008
Waterhouse, William C.
12
1983
A conjectured property of Hermitian pencils. Zbl 0516.15006
Waterhouse, William C.
5
1983
The unit groups of affine algebraic monoids. Zbl 0517.20043
Waterhouse, William C.
9
1982
Automorphisms of quotients of \(\prod GL(n_i)\). Zbl 0504.20028
Waterhouse, William C.
8
1982
Linear maps preserving reduced norms. Zbl 0482.16018
Waterhouse, William C.
4
1982
Real classification of complex quadrics. Zbl 0503.51018
Waterhouse, William C.
3
1982
Polynomial group laws over valuation rings. Zbl 0437.14026
Waterhouse, William C.
1
1982
The module structure of certain Hopf algebra extensions. Zbl 0478.16004
Waterhouse, William C.
1
1982
Abstract homomorphisms of algebraic groups: problems and bibliography. Zbl 0452.20045
James, D.; Waterhouse, W.; Weisfeiler, Boris
23
1981
Projective modules over rings with many units. Zbl 0493.13003
McDonald, B. R.; Waterhouse, William C.
15
1981
One-dimensional affine group schemes. Zbl 0452.14013
Waterhouse, William C.; Weisfeiler, Boris
36
1980
Automorphisms of \(GL_n(R)\). Zbl 0442.20027
Waterhouse, William C.
21
1980
Subgroups of \(ax+b\) and the splitting of triangular group schemes. Zbl 0442.14018
Waterhouse, William C.
2
1980
Commutative polynomial group laws over valuation rings. Zbl 0435.14011
Waterhouse, William C.
1
1980
Introduction to affine group schemes. Zbl 0442.14017
Waterhouse, William C.
310
1979
The early proofs of Sylow’s theorem. Zbl 0436.01006
Waterhouse, William C.
6
1979
Gauss on infinity. Zbl 0425.01003
Waterhouse, William C.
2
1979
The normal basis theorem. Zbl 0411.12019
Waterhouse, William C.
1
1979
A probable Hasse principle for pencils of quadrics. Zbl 0394.10013
Waterhouse, William C.
2
1978
A nonsymmetric Hasse-Minkowski theorem. Zbl 0359.10020
Waterhouse, William C.
4
1977
Class groups of rings of invariants. Zbl 0376.14006
Waterhouse, William C.
2
1977
Some errors in applied mathematics. Zbl 0376.90001
Waterhouse, William C.
1
1977
Pairs of forms and pencils of quadrics. Zbl 0394.10012
Waterhouse, William C.
1
1977
Pairs of quadratic forms. Zbl 0337.10015
Waterhouse, William C.
26
1976
Self-adjoint operators and formally real fields. Zbl 0331.12102
Waterhouse, William C.
7
1976
Pairs of symmetric bilinear forms in characteristic 2. Zbl 0362.15015
Waterhouse, William C.
7
1976
Notes toward higher differential algebra. Zbl 0323.12104
Waterhouse, William C.
5
1976
The structure of inseparable field extentions. Zbl 0315.12101
Waterhouse, William C.
17
1975
Antipodes and group-likes in finite Hopf algebras. Zbl 0315.16007
Waterhouse, William C.
9
1975
Basically bounded functors and flat sheaves. Zbl 0316.14008
Waterhouse, William C.
6
1975
Profinite groups are Galois groups. Zbl 0281.20031
Waterhouse, William C.
12
1974
The heights of formal A-modules. Zbl 0295.14021
Waterhouse, William C.
1
1974
An empty inverse limit. Zbl 0259.54008
Waterhouse, William C.
13
1973
Pieces of eight in class groups of quadratic fields. Zbl 0219.12006
Waterhouse, W. C.
8
1973
A non-criterion for central simple algebras. Zbl 0245.16006
Waterhouse, William C.
3
1973
Moore’s theorem on uniqueness of reciprocity laws. Zbl 0245.12009
Chase, Stephen U.; Waterhouse, William C.
10
1972
The discovery of the regular solids. Zbl 0255.01002
Waterhouse, William C.
9
1972
On p-divisible groups over complete valuation rings. Zbl 0227.14018
Waterhouse, William C.
2
1972
Abelian varieties over finite fields. Zbl 0216.33102
Waterhouse, W. C.; Milne, J. S.
23
1971
Automorphism schemes and forms of Witt Lie algebras. Zbl 0212.25602
Waterhouse, W. C.
21
1971
Principal homogeneous spaces and group scheme extensions. Zbl 0208.48401
Waterhouse, W. C.
17
1971
Divisor classes in pseudo-Galois extensions. Zbl 0187.00504
Waterhouse, William C.
4
1971
The sign of the Gaussian sum. Zbl 0197.32003
Waterhouse, W. C.
2
1970
Abelian varieties over finite fields. Zbl 0188.53001
Waterhouse, W. C.
221
1969
The Stone-Weierstrass theorem for valuable fields. Zbl 0172.41402
Chernoff, P. R.; Rasala, R. A.; Waterhouse, W. C.
7
1968
Dual groups of vector spaces. Zbl 0162.44102
Waterhouse, W. C.
6
1968
On UC spaces. Zbl 0136.19802
Waterhouse, W. C.
12
1965
all top 5

Cited by 1,125 Authors

27 Waterhouse, William C.
14 Vavilov, Nikolaĭ Aleksandrovich
13 Pumplün, Susanne
11 Mináč, Ján
11 Wibmer, Michael
9 Farnsteiner, Rolf
9 Masuoka, Akira
9 Mordeson, John N.
8 Dopico, Froilán M.
8 Howe, Everett W.
7 Elduque, Alberto
7 Kowalski, Piotr
7 Nguyêñ Duy Tân
7 Ovchinnikov, Alexey Igorevich
7 Pevtsova, Julia
7 Suwa, Noriyuki
7 Swallow, John R.
6 Beer, Gerald Alan
6 Castryck, Wouter
6 de Terán, Fernando
6 Hardouin, Charlotte
6 Hoffmann, Daniel Max
6 Koch, Alan
6 Kochetov, Mikhail Viktorovich
6 Oort, Frans
6 Pinto dos Santos, João Pedro
6 Renner, Lex E.
6 Schultz, Andrew
6 Taylor, Martin J.
6 Vercauteren, Frederik
6 Xing, Chaoping
6 Yu, Chia-Fu
5 Antei, Marco
5 Biswas, Indranil
5 Bunina, Elena Igor’evna
5 Di Vizio, Lucia
5 Fliouet, El Hassane
5 Ritzenthaler, Christophe
5 Rybakov, Sergeĭ Yur’evich
5 Trigos-Arrieta, F. Javier
5 Zaytsev, Alexey
5 Zubkov, Alexandr N.
4 Bachmayr, Annette
4 Bevilacqua, Roberto
4 Brown, Kenneth Alexander
4 Cassou-Noguès, Philippe
4 Deveney, James Kevin
4 Dmytryshyn, Andrii R.
4 Friedlander, Eric Mark
4 Galbraith, Steven D.
4 Garibaldi, Skip
4 Gelaki, Shlomo
4 Giangreco-Maidana, Alejandro José
4 Gillibert, Jean
4 Greither, Cornelius
4 Guralnick, Robert Michael
4 Hwang, WonTae
4 James, Donald G.
4 Lorenzini, Dino J.
4 Luzgarev, A. Yu.
4 Nguyễn Quôc Thăng
4 Pappas, Georgios
4 Pianzola, Arturo
4 Rehmann, Ulf
4 Sekiguchi, Tsutomu
4 Takeuchi, Mitsuhiro
4 Tossici, Dajano
4 Tuganbaev, Askar Akanovich
4 Wesolowski, Benjamin
3 Amano, Katsutoshi
3 Angiono, Iván Ezequiel
3 Dolgachev, Igor’ Vladimirovich
3 Ershov, Yuriĭ Leonidovich
3 Hashimoto, Mitsuyasu
3 Hirschfeld, James William Peter
3 Kang, Ming-Chang
3 Kaplan, Nathan
3 Karátson, János
3 Katsura, Toshiyuki
3 Laffey, Thomas J.
3 Markov, Viktor Timofeevich
3 McDonald, Bernard R.
3 McGuire, Gary
3 Mikhalëv, Aleksandr Vasil’evich
3 Muñoz Masqué, Jaime
3 Nart, Enric
3 Otabe, Shusuke
3 Petersson, Holger P.
3 Phùng Hô‘ Hài
3 Putcha, Mohan S.
3 Schoen, Chad
3 Schröer, Stefan
3 Skryabin, Serge
3 Springer, Caleb
3 Steele, Andrew
3 Stepanov, Alexeĭ Vladimirovich
3 Tate, John Torrence jun.
3 Tignol, Jean-Pierre
3 Truman, Paul J.
3 Uhlig, Frank
...and 1,025 more Authors
all top 5

Cited in 224 Serials

115 Journal of Algebra
57 Linear Algebra and its Applications
47 Journal of Pure and Applied Algebra
41 Journal of Number Theory
28 Communications in Algebra
28 Transactions of the American Mathematical Society
28 Finite Fields and their Applications
25 Linear and Multilinear Algebra
22 Advances in Mathematics
22 Archiv der Mathematik
19 Mathematische Zeitschrift
19 Proceedings of the American Mathematical Society
18 Journal of Mathematical Sciences (New York)
17 Inventiones Mathematicae
15 Israel Journal of Mathematics
15 Journal de Théorie des Nombres de Bordeaux
14 Compositio Mathematica
13 Duke Mathematical Journal
12 Transformation Groups
11 Mathematische Annalen
10 Historia Mathematica
9 Mathematics of Computation
8 Journal of Soviet Mathematics
8 Journal of Algebra and its Applications
7 Annales de l’Institut Fourier
7 Designs, Codes and Cryptography
7 Algebra & Number Theory
6 Archive for History of Exact Sciences
6 Bulletin of the American Mathematical Society. New Series
6 St. Petersburg Mathematical Journal
6 International Journal of Number Theory
5 Journal of Mathematical Analysis and Applications
5 Mathematical Notes
5 Journal of the London Mathematical Society. Second Series
5 Topology and its Applications
5 Journal of Cryptology
5 Indagationes Mathematicae. New Series
5 LMS Journal of Computation and Mathematics
5 Research in Number Theory
4 Rocky Mountain Journal of Mathematics
4 Journal of Geometry and Physics
4 Algebra and Logic
4 The Journal of Symbolic Logic
4 Manuscripta Mathematica
4 Proceedings of the Japan Academy. Series A
4 Semigroup Forum
4 Tokyo Journal of Mathematics
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Algebraic Geometry
4 Documenta Mathematica
4 Journal of the Institute of Mathematics of Jussieu
3 Bulletin of the Australian Mathematical Society
3 Acta Mathematica Vietnamica
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Canadian Journal of Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Mathematika
3 Memoirs of the American Mathematical Society
3 Nagoya Mathematical Journal
3 Rendiconti del Seminario Matematico della Università di Padova
3 Results in Mathematics
3 Tôhoku Mathematical Journal. Second Series
3 Acta Applicandae Mathematicae
3 Journal of Symbolic Computation
3 Journal of the American Mathematical Society
3 SIAM Journal on Matrix Analysis and Applications
3 Expositiones Mathematicae
3 Experimental Mathematics
3 Representation Theory
3 Algebras and Representation Theory
3 Acta Mathematica Sinica. English Series
3 Algebraic & Geometric Topology
3 Journal of the Australian Mathematical Society
3 Forum of Mathematics, Sigma
3 European Journal of Mathematics
2 Discrete Mathematics
2 International Journal of Theoretical Physics
2 Journal of Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 The Mathematical Intelligencer
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin of the London Mathematical Society
2 Czechoslovak Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Kodai Mathematical Journal
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 European Journal of Combinatorics
2 Acta Mathematica Hungarica
2 Forum Mathematicum
2 Journal of the Ramanujan Mathematical Society
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 IMRN. International Mathematics Research Notices
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Acta Mathematica Sinica. New Series
2 Computational Complexity
2 Journal of Algebraic Combinatorics
...and 124 more Serials
all top 5

Cited in 53 Fields

400 Algebraic geometry (14-XX)
327 Number theory (11-XX)
196 Group theory and generalizations (20-XX)
150 Associative rings and algebras (16-XX)
110 Field theory and polynomials (12-XX)
103 Nonassociative rings and algebras (17-XX)
100 Linear and multilinear algebra; matrix theory (15-XX)
81 Commutative algebra (13-XX)
58 Information and communication theory, circuits (94-XX)
50 Category theory; homological algebra (18-XX)
25 Geometry (51-XX)
24 History and biography (01-XX)
23 Topological groups, Lie groups (22-XX)
23 General topology (54-XX)
22 Quantum theory (81-XX)
20 Functional analysis (46-XX)
19 Mathematical logic and foundations (03-XX)
19 Algebraic topology (55-XX)
16 Combinatorics (05-XX)
14 Numerical analysis (65-XX)
13 Computer science (68-XX)
12 \(K\)-theory (19-XX)
9 Ordinary differential equations (34-XX)
9 Statistics (62-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Operator theory (47-XX)
8 Manifolds and cell complexes (57-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Partial differential equations (35-XX)
7 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
6 Difference and functional equations (39-XX)
5 General and overarching topics; collections (00-XX)
5 General algebraic systems (08-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Convex and discrete geometry (52-XX)
4 Probability theory and stochastic processes (60-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
3 Operations research, mathematical programming (90-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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