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Kolchin, Ellis Robert

Author ID: kolchin.ellis-robert Recent zbMATH articles by "Kolchin, Ellis Robert"
Published as: Kolchin, E. R.; Kolchin, Ellis; Kolchin, Ellis Robert; Kolchin, E.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 38 Publications since 1939, including 3 Books
Biographic References: 2 Publications
Co-Authors: 4 Co-Authors with 6 Joint Publications
46 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 1,012 times in 792 Documents Cited by Year
Differential algebra and algebraic groups. Zbl 0264.12102
Kolchin, E. R.
587
1973
Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.18701
Kolchin, E. R.
66
1948
Algebraic groups and algebraic dependence. Zbl 0169.36701
Kolchin, E. R.
62
1968
Differential algebraic groups. Zbl 0556.12006
Kolchin, E. R.
58
1985
Galois theory of differential fields. Zbl 0052.27301
Kolchin, E. R.
34
1953
The notion of dimension in the theory of algebraic differential equations. Zbl 0144.03702
Kolchin, E. R.
31
1964
Constrained extensions of differential fields. Zbl 0279.12103
Kolchin, E. R.
26
1974
On certain concepts in the theory of algebraic matric groups. Zbl 0037.18801
Kolchin, E. R.
21
1948
Extensions of differential fields. I, II. Zbl 0060.08105
Kolchin, E. R.
13
1944
Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. Zbl 0930.12004
Kolchin, Ellis
13
1999
Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.06601
Kolchin, E. R.
10
1948
Rational approximation to solutions of algebraic differential equations. Zbl 0092.27302
Kolchin, E. R.
10
1959
Differential equations in a projective space and linear dependence over a projective variety. Zbl 0292.14009
Kolchin, E. R.
9
1974
Picard-Vessiot theory of partial differential fields. Zbl 0047.33303
Kolchin, E. R.
9
1952
On the Galois theory of differential fields. Zbl 0067.27004
Kolchin, E. R.
9
1955
Extensions of differential fields. III. Zbl 0037.18601
Kolchin, E. R.
7
1947
A problem on differential polynomials. Zbl 0759.12002
Kolchin, E. R.
5
1992
Existence of invariant bases. Zbl 0118.04601
Kolchin, Ellis; Lang, Serge
5
1960
Algebraic matric groups. Zbl 0063.03290
Kolchin, E. R.
5
1946
Differential algebraic groups. Zbl 0593.14028
Kolchin, E. R.
4
1986
Extensions of differential fields. II. Zbl 0063.03289
Kolchin, E. R.
4
1944
On the exponents of differential ideals. JFM 67.0090.05
Kolchin, E. R.
4
1941
Abelian extensions of differential fields. Zbl 0173.22904
Kolchin, E. R.
3
1960
Two proofs of a theorem on algebraic groups. Zbl 0042.25502
Chevalley, Claude; Kolchin, E.
3
1951
The Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0061.16801
Kolchin, E. R.
3
1946
Some problems in differential algebra. Zbl 0197.31601
Kolchin, E. R.
2
1968
On universal extensions of differential fields. Zbl 0439.12015
Kolchin, E. R.
2
1980
Algebraic groups and the Galois theory of differential fields. Zbl 0107.03002
Kolchin, Ellis; Lang, Serge
2
1958
Differential polynomials and strongly normal extensions. Zbl 0259.12102
Kolchin, E. R.; Soundararajan, T.
1
1972
On certain ideals of differential polynomials. Zbl 0022.33703
Ritt, J. F.; Kolchin, E. R.
1
1939
On the exponents of differential ideals. Zbl 0025.24502
Kolchin, Ellis Robert
1
1941
On the basis theorem for differential systems. Zbl 0063.03288
Kolchin, E. R.
1
1942
On certain ideals of differential polynomials. JFM 65.0105.04
Ritt, J. F.; Kolchin, E. R.
1
1939
Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. Zbl 0930.12004
Kolchin, Ellis
13
1999
A problem on differential polynomials. Zbl 0759.12002
Kolchin, E. R.
5
1992
Differential algebraic groups. Zbl 0593.14028
Kolchin, E. R.
4
1986
Differential algebraic groups. Zbl 0556.12006
Kolchin, E. R.
58
1985
On universal extensions of differential fields. Zbl 0439.12015
Kolchin, E. R.
2
1980
Constrained extensions of differential fields. Zbl 0279.12103
Kolchin, E. R.
26
1974
Differential equations in a projective space and linear dependence over a projective variety. Zbl 0292.14009
Kolchin, E. R.
9
1974
Differential algebra and algebraic groups. Zbl 0264.12102
Kolchin, E. R.
587
1973
Differential polynomials and strongly normal extensions. Zbl 0259.12102
Kolchin, E. R.; Soundararajan, T.
1
1972
Algebraic groups and algebraic dependence. Zbl 0169.36701
Kolchin, E. R.
62
1968
Some problems in differential algebra. Zbl 0197.31601
Kolchin, E. R.
2
1968
The notion of dimension in the theory of algebraic differential equations. Zbl 0144.03702
Kolchin, E. R.
31
1964
Existence of invariant bases. Zbl 0118.04601
Kolchin, Ellis; Lang, Serge
5
1960
Abelian extensions of differential fields. Zbl 0173.22904
Kolchin, E. R.
3
1960
Rational approximation to solutions of algebraic differential equations. Zbl 0092.27302
Kolchin, E. R.
10
1959
Algebraic groups and the Galois theory of differential fields. Zbl 0107.03002
Kolchin, Ellis; Lang, Serge
2
1958
On the Galois theory of differential fields. Zbl 0067.27004
Kolchin, E. R.
9
1955
Galois theory of differential fields. Zbl 0052.27301
Kolchin, E. R.
34
1953
Picard-Vessiot theory of partial differential fields. Zbl 0047.33303
Kolchin, E. R.
9
1952
Two proofs of a theorem on algebraic groups. Zbl 0042.25502
Chevalley, Claude; Kolchin, E.
3
1951
Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.18701
Kolchin, E. R.
66
1948
On certain concepts in the theory of algebraic matric groups. Zbl 0037.18801
Kolchin, E. R.
21
1948
Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.06601
Kolchin, E. R.
10
1948
Extensions of differential fields. III. Zbl 0037.18601
Kolchin, E. R.
7
1947
Algebraic matric groups. Zbl 0063.03290
Kolchin, E. R.
5
1946
The Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0061.16801
Kolchin, E. R.
3
1946
Extensions of differential fields. I, II. Zbl 0060.08105
Kolchin, E. R.
13
1944
Extensions of differential fields. II. Zbl 0063.03289
Kolchin, E. R.
4
1944
On the basis theorem for differential systems. Zbl 0063.03288
Kolchin, E. R.
1
1942
On the exponents of differential ideals. JFM 67.0090.05
Kolchin, E. R.
4
1941
On the exponents of differential ideals. Zbl 0025.24502
Kolchin, Ellis Robert
1
1941
On certain ideals of differential polynomials. Zbl 0022.33703
Ritt, J. F.; Kolchin, E. R.
1
1939
On certain ideals of differential polynomials. JFM 65.0105.04
Ritt, J. F.; Kolchin, E. R.
1
1939
all top 5

Cited by 681 Authors

27 Guo, Li
23 Singer, Michael F.
22 Ovchinnikov, Alexey Igorevich
18 Buium, Alexandru
18 León Sánchez, Omar
17 Gao, Xing
16 Levin, Alexander Borisovich
14 Fliess, Michel
14 Kondrat’eva, Marina Vladimirovna
13 Boulier, François
12 Keigher, William F.
12 Li, Wei
11 Gao, Xiaoshan
11 Pillay, Anand
11 Sebag, Julien
10 Lemaire, François
10 Pogudin, Gleb A.
10 Rosenkranz, Markus
10 Wibmer, Michael
9 Freitag, James
9 Winkler, Franz
8 Casale, Guy
8 D’Alfonso, Lisi
8 Hardouin, Charlotte
8 Jeronimo, Gabriela
8 Moosa, Rahim N.
8 Solernó, Pablo
7 Chalkley, Roger
7 Feng, Ruyong
7 Morales-Ruiz, Juan José
7 Scanlon, Thomas J.
7 Srinivasan, Varadharaj Ravi
6 Acosta Humánez, Primitivo Belén
6 Arreche, Carlos E.
6 Chen, Yuqun
6 Crespo Vicente, Teresa
6 Dreyfus, Thomas
6 Hajto, Zbigniew
6 Hubert, Evelyne
6 Johnson, Joseph
6 Kovacic, Jerald J.
6 Lange-Hegermann, Markus
6 Radjavi, Heydar
6 Robertz, Daniel
6 Rueda, Sonia L.
6 Umirbaev, Ualbaĭ Utmakhanbetovich
5 Adamus, Elżbieta
5 Blázquez-Sanz, David
5 Bourqui, David
5 Cassidy, Phyllis Joan
5 Cohn, Richard M.
5 Duval, Guillaume
5 Gerdt, Vladimir Petrovich
5 Golubitsky, Oleg
5 Li, Ziming
5 Martinez-Guerra, Rafael
5 Masser, David William
5 Pankrat’ev, Evgeniĭ Vasil’evich
5 Schwarz, Fritz
5 Weil, Jacques-Arthur
5 Yuan, Chunming
5 Zharinov, Victor Victorovich
4 Bachmayr, Annette
4 Bokut, Leonid A.
4 Chen, Kuo-Tsai
4 Chen, Shaoshi
4 Di Vizio, Lucia
4 Falkensteiner, Sebastian
4 Gorelov, Vasiliĭ Aleksandrovich
4 Grigorenko, N. V.
4 Gustavson, Richard
4 Lévine, Jean
4 Minchenko, Andrey
4 Mitschi, Claude
4 Moog, Claude H.
4 Moreno Maza, Marc
4 Nagloo, Joel
4 Ngô, Lâm Xuân Châu
4 Nishioka, Keiji
4 Ollivier, François
4 Prykarpatsky, Anatoliy Karolevych
4 Qiu, Jianjun
4 Regensburger, Georg
4 Rouchon, Pierre
4 Rubel, Lee Albert
4 Sendra, Juan Rafael
4 Sira-Ramírez, Hebertt J.
4 Sit, William Yu
4 Trushin, Dmitrii V.
4 Wloka, Josef
4 Wüstholz, Gisbert
4 Zobnin, Alexey I.
3 Amano, Katsutoshi
3 Arakawa, Tomoyuki
3 Artemovych, Orest Dem”yanovych
3 Aslanyan, Vahagn A.
3 Bell, Jason P.
3 Bertrand, Daniel
3 Brouette, Quentin
3 Cañón, Mario Morán
...and 581 more Authors
all top 5

Cited in 184 Serials

68 Journal of Algebra
68 Journal of Symbolic Computation
30 Proceedings of the American Mathematical Society
29 Journal of Pure and Applied Algebra
28 Transactions of the American Mathematical Society
27 Communications in Algebra
24 Advances in Mathematics
17 Journal of Mathematical Sciences (New York)
14 Journal of Differential Equations
14 Mathematics in Computer Science
13 Linear Algebra and its Applications
12 Advances in Applied Mathematics
12 Applicable Algebra in Engineering, Communication and Computing
10 Mathematical Notes
10 Annales de l’Institut Fourier
9 Journal of Algebra and its Applications
8 Systems & Control Letters
8 Annals of Pure and Applied Logic
7 Israel Journal of Mathematics
7 Inventiones Mathematicae
7 Mathematische Annalen
7 Aequationes Mathematicae
7 Journal of Systems Science and Complexity
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Bulletin of the American Mathematical Society
6 Automatica
6 Compositio Mathematica
6 Mathematische Zeitschrift
6 International Journal of Algebra and Computation
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Archiv der Mathematik
5 Journal of Number Theory
5 Programming and Computer Software
5 Theoretical Computer Science
5 Selecta Mathematica. New Series
5 Integral Transforms and Special Functions
5 Communications in Contemporary Mathematics
5 Journal of the Institute of Mathematics of Jussieu
4 Journal of Mathematical Analysis and Applications
4 Linear and Multilinear Algebra
4 Journal of Geometry and Physics
4 Applied Mathematics and Computation
4 Duke Mathematical Journal
4 Mathematics and Computers in Simulation
4 Acta Applicandae Mathematicae
4 Journal of Complexity
4 Science in China. Series A
4 Indagationes Mathematicae. New Series
4 Transformation Groups
3 Bulletin of the Australian Mathematical Society
3 International Journal of Control
3 Journal of Mathematical Physics
3 Reports on Mathematical Physics
3 Theoretical and Mathematical Physics
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Physica D
3 Bulletin of the American Mathematical Society. New Series
3 Lobachevskii Journal of Mathematics
3 International Journal of Number Theory
3 Forum of Mathematics, Sigma
3 Arnold Mathematical Journal
2 Computer Physics Communications
2 Mathematical Biosciences
2 Moscow University Mathematics Bulletin
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Computational and Applied Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 The Journal of Symbolic Logic
2 Kybernetika
2 Manuscripta Mathematica
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Siberian Mathematical Journal
2 European Journal of Combinatorics
2 Journal of Automated Reasoning
2 Journal of the American Mathematical Society
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Applied Categorical Structures
2 Mathematical Logic Quarterly (MLQ)
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Journal of the European Mathematical Society (JEMS)
2 International Journal of Applied Mathematics and Computer Science
2 Journal of Mathematical Logic
2 Foundations of Computational Mathematics
2 Mediterranean Journal of Mathematics
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Frontiers of Mathematics in China
2 Algebra & Number Theory
2 Confluentes Mathematici
2 Science China. Mathematics
2 Bulletin of Mathematical Sciences
2 Journal of Siberian Federal University. Mathematics & Physics
...and 84 more Serials
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Cited in 52 Fields

427 Field theory and polynomials (12-XX)
175 Commutative algebra (13-XX)
160 Ordinary differential equations (34-XX)
121 Algebraic geometry (14-XX)
93 Associative rings and algebras (16-XX)
88 Computer science (68-XX)
68 Mathematical logic and foundations (03-XX)
55 Number theory (11-XX)
53 Partial differential equations (35-XX)
47 Group theory and generalizations (20-XX)
46 Systems theory; control (93-XX)
44 Nonassociative rings and algebras (17-XX)
37 Dynamical systems and ergodic theory (37-XX)
24 Special functions (33-XX)
23 Several complex variables and analytic spaces (32-XX)
23 Difference and functional equations (39-XX)
20 Differential geometry (53-XX)
18 Combinatorics (05-XX)
18 Numerical analysis (65-XX)
17 Global analysis, analysis on manifolds (58-XX)
14 Category theory; homological algebra (18-XX)
13 Operator theory (47-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 General algebraic systems (08-XX)
8 Mechanics of particles and systems (70-XX)
8 Biology and other natural sciences (92-XX)
7 Topological groups, Lie groups (22-XX)
7 Integral transforms, operational calculus (44-XX)
6 Quantum theory (81-XX)
5 Functions of a complex variable (30-XX)
5 Integral equations (45-XX)
5 Manifolds and cell complexes (57-XX)
5 Probability theory and stochastic processes (60-XX)
4 Approximations and expansions (41-XX)
3 History and biography (01-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Real functions (26-XX)
3 Statistics (62-XX)
2 Sequences, series, summability (40-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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