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Seidenberg, Abraham

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Author ID: seidenberg.abraham Recent zbMATH articles by "Seidenberg, Abraham"
Published as: Seidenberg, A.; Seidenberg, Abraham
External Links: MGP · Wikidata · MacTutor
Documents Indexed: 62 Publications since 1937, including 2 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 1,055 times in 911 Documents Cited by Year
Reduction of singularities of the differential equation Ady-Bdx. Zbl 0159.33303
Seidenberg, A.
177
1968
A new decision method for elementary algebra. Zbl 0056.01804
Seidenberg, A.
123
1954
Intuitive probability on finite sets. Zbl 0173.19606
Kraft, C. H.; Pratt, J. W.; Seidenberg, A.
107
1959
Constructions in algebra. Zbl 0356.13007
Seidenberg, A.
98
1974
A note on the dimension theory of rings. Zbl 0052.26902
Seidenberg, A.
56
1953
Derivations and integral closure. Zbl 0133.29202
Seidenberg, A.
52
1966
Differential ideals in rings of finitely generated type. Zbl 0152.02905
Seidenberg, A.
50
1967
The hyperplane sections of normal varieties. Zbl 0040.23501
Seidenberg, A.
48
1950
On the dimension theory of rings. II. Zbl 0057.26802
Seidenberg, A.
42
1954
Prime ideals and integral dependence. Zbl 0060.07003
Cohen, I. S.; Seidenberg, A.
25
1946
Abstract differential algebra and the analytic case. Zbl 0186.07502
Seidenberg, A.
23
1958
Constructions in a polynomial ring over the ring of integers. Zbl 0416.13013
Seidenberg, A.
21
1978
A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003
Seidenberg, A.
21
1959
Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502
Seidenberg, A.
21
1956
Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502
Seidenberg, A.
19
1952
Abstract differential algebra and the analytic case. II. Zbl 0186.07503
Seidenberg, A.
15
1969
Lectures in projective geometry. Zbl 0121.37705
Seidenberg, A.
14
1962
Construction of the integral closure of a finite integral domain. Zbl 0218.14023
Seidenberg, A.
12
1971
What is Noetherian? Zbl 0345.13010
Seidenberg, Abraham
10
1975
An elimination theory for differential algebra. Zbl 0083.03302
Seidenberg, A.
10
1957
On the length of a Hilbert ascending chain. Zbl 0216.32802
Seidenberg, A.
9
1971
The ritual origin of geometry. Zbl 0109.00201
Seidenberg, A.
8
1962
Construction of the integral closure of a finite integral domain. II. Zbl 0333.13004
Seidenberg, A.
7
1975
On the Lasker-Noether decomposition theorem. Zbl 0567.13006
Seidenberg, A.
6
1984
The origin of mathematics. Zbl 0392.01002
Seidenberg, A.
6
1978
Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507
Seidenberg, A.
6
1956
Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001
Seidenberg, A.
5
2005
On the area of a semi-circle. Zbl 0253.01002
Seidenberg, A.
5
1972
The hyperplane sections of arithmetically normal varieties. Zbl 0252.14002
Seidenberg, A.
5
1972
Analytic products. Zbl 0185.49304
Seidenberg, A.
5
1969
Peg and cord in ancient Greek geometry. Zbl 0088.00402
Seidenberg, A.
5
1959
Comments on Lefschetz’s principle. Zbl 0108.16903
Seidenberg, A.
5
1958
Constructive proof of Hilbert’s theorem on ascending chains. Zbl 0256.13012
Seidenberg, A.
4
1973
Derivations and valuation rings. Zbl 0374.13004
Seidenberg, A.
3
1977
The prime ideals of a polynomial ideal under extension of the base field. Zbl 0303.13001
Seidenberg, A.
3
1975
On the variety of orbits. Zbl 0182.54202
Seidenberg, A.
3
1969
The diffusion of counting practices. Zbl 0104.00207
Seidenberg, A.
3
1960
The ritual origin of the circle and square. Zbl 0481.01004
Seidenberg, A.
2
1981
km, a widespread root for ten. Zbl 0347.01001
Seidenberg, A.
2
1976
Pappus implies Desargues. Zbl 0328.50015
Seidenberg, A.
2
1976
Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005
Seidenberg, A.
2
1975
On the Chow form. Zbl 0299.14005
Seidenberg, A.
2
1975
Analytically equivalent ideals. Zbl 0181.32402
Seidenberg, A.
2
1969
Some basic theorems in partial differential algebra. Zbl 0099.02502
Seidenberg, A.
2
1958
On seperating transcendency bases for differential fields. Zbl 0067.27003
Seidenberg, A.
2
1955
Valuation ideals in polynomial rings. Zbl 0060.07101
Seidenberg, A.
2
1945
Ratio of arc to chord. Zbl 0485.51020
Seidenberg, A.
1
1982
Differential ideals in complete local rings. Zbl 0272.13001
Seidenberg, A.
1
1973
On \(k\)-constructable sets, \(k\)-elementary formulae, and elimination theory. Zbl 0186.25901
Seidenberg, A.
1
1969
The sixty system of Sumer. Zbl 0138.00301
Seidenberg, A.
1
1965
The ritual origin of counting. Zbl 0109.00110
Seidenberg, A.
1
1962
Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001
Seidenberg, A.
5
2005
On the Lasker-Noether decomposition theorem. Zbl 0567.13006
Seidenberg, A.
6
1984
Ratio of arc to chord. Zbl 0485.51020
Seidenberg, A.
1
1982
The ritual origin of the circle and square. Zbl 0481.01004
Seidenberg, A.
2
1981
Constructions in a polynomial ring over the ring of integers. Zbl 0416.13013
Seidenberg, A.
21
1978
The origin of mathematics. Zbl 0392.01002
Seidenberg, A.
6
1978
Derivations and valuation rings. Zbl 0374.13004
Seidenberg, A.
3
1977
km, a widespread root for ten. Zbl 0347.01001
Seidenberg, A.
2
1976
Pappus implies Desargues. Zbl 0328.50015
Seidenberg, A.
2
1976
What is Noetherian? Zbl 0345.13010
Seidenberg, Abraham
10
1975
Construction of the integral closure of a finite integral domain. II. Zbl 0333.13004
Seidenberg, A.
7
1975
The prime ideals of a polynomial ideal under extension of the base field. Zbl 0303.13001
Seidenberg, A.
3
1975
Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005
Seidenberg, A.
2
1975
On the Chow form. Zbl 0299.14005
Seidenberg, A.
2
1975
Constructions in algebra. Zbl 0356.13007
Seidenberg, A.
98
1974
Constructive proof of Hilbert’s theorem on ascending chains. Zbl 0256.13012
Seidenberg, A.
4
1973
Differential ideals in complete local rings. Zbl 0272.13001
Seidenberg, A.
1
1973
On the area of a semi-circle. Zbl 0253.01002
Seidenberg, A.
5
1972
The hyperplane sections of arithmetically normal varieties. Zbl 0252.14002
Seidenberg, A.
5
1972
Construction of the integral closure of a finite integral domain. Zbl 0218.14023
Seidenberg, A.
12
1971
On the length of a Hilbert ascending chain. Zbl 0216.32802
Seidenberg, A.
9
1971
Abstract differential algebra and the analytic case. II. Zbl 0186.07503
Seidenberg, A.
15
1969
Analytic products. Zbl 0185.49304
Seidenberg, A.
5
1969
On the variety of orbits. Zbl 0182.54202
Seidenberg, A.
3
1969
Analytically equivalent ideals. Zbl 0181.32402
Seidenberg, A.
2
1969
On \(k\)-constructable sets, \(k\)-elementary formulae, and elimination theory. Zbl 0186.25901
Seidenberg, A.
1
1969
Reduction of singularities of the differential equation Ady-Bdx. Zbl 0159.33303
Seidenberg, A.
177
1968
Differential ideals in rings of finitely generated type. Zbl 0152.02905
Seidenberg, A.
50
1967
Derivations and integral closure. Zbl 0133.29202
Seidenberg, A.
52
1966
The sixty system of Sumer. Zbl 0138.00301
Seidenberg, A.
1
1965
Lectures in projective geometry. Zbl 0121.37705
Seidenberg, A.
14
1962
The ritual origin of geometry. Zbl 0109.00201
Seidenberg, A.
8
1962
The ritual origin of counting. Zbl 0109.00110
Seidenberg, A.
1
1962
The diffusion of counting practices. Zbl 0104.00207
Seidenberg, A.
3
1960
Intuitive probability on finite sets. Zbl 0173.19606
Kraft, C. H.; Pratt, J. W.; Seidenberg, A.
107
1959
A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003
Seidenberg, A.
21
1959
Peg and cord in ancient Greek geometry. Zbl 0088.00402
Seidenberg, A.
5
1959
Abstract differential algebra and the analytic case. Zbl 0186.07502
Seidenberg, A.
23
1958
Comments on Lefschetz’s principle. Zbl 0108.16903
Seidenberg, A.
5
1958
Some basic theorems in partial differential algebra. Zbl 0099.02502
Seidenberg, A.
2
1958
An elimination theory for differential algebra. Zbl 0083.03302
Seidenberg, A.
10
1957
Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502
Seidenberg, A.
21
1956
Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507
Seidenberg, A.
6
1956
On seperating transcendency bases for differential fields. Zbl 0067.27003
Seidenberg, A.
2
1955
A new decision method for elementary algebra. Zbl 0056.01804
Seidenberg, A.
123
1954
On the dimension theory of rings. II. Zbl 0057.26802
Seidenberg, A.
42
1954
A note on the dimension theory of rings. Zbl 0052.26902
Seidenberg, A.
56
1953
Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502
Seidenberg, A.
19
1952
The hyperplane sections of normal varieties. Zbl 0040.23501
Seidenberg, A.
48
1950
Prime ideals and integral dependence. Zbl 0060.07003
Cohen, I. S.; Seidenberg, A.
25
1946
Valuation ideals in polynomial rings. Zbl 0060.07101
Seidenberg, A.
2
1945
all top 5

Cited by 1,041 Authors

18 Seidenberg, Abraham
16 Scárdua, Bruno C. Azevedo
14 Fishburn, Peter Clingerman
10 Coletti, Giulianella
10 Valls Anglés, Cláudia
10 Vantaggi, Barbara
9 Cano, Felipe
9 Heinzer, William J.
7 Dobbs, David Earl
7 Gilmer, Robert W. jun.
7 Llibre, Jaume
7 Slinko, Arkadii M.
7 Solernó, Pablo
6 Camacho, César
6 Galindo Pastor, Carlos
6 Grigor’ev, Dmitriĭ Yur’evich
6 Jeronimo, Gabriela
6 Kang, Byung Gyun
6 Lequain, Yves
6 Mol, Rogério S.
6 Molinelli, Silvia
6 Rebelo, Julio C.
6 Sanz Sánchez, Fernando
6 Singer, Michael F.
6 Toan, Phan Thanh
6 Vasconcelos, Wolmer V.
5 Corral, Nuria
5 Ferragut, Antoni
5 Fontana, Marco
5 Haouat, Youssef
5 Monserrat, Francisco
5 Moussu, Robert
5 Ovchinnikov, Alexey Igorevich
5 Rothblum, Uriel George
5 Singh, Balwant
5 Tamone, Grazia
4 Ahmadi, Amir Ali
4 Baumslag, Gilbert
4 Brown, William C.
4 Cahen, Paul-Jean
4 Capotorti, Andrea
4 Cerveau, Dominique
4 D’Alfonso, Lisi
4 Eaves, B. Curtis
4 García, Isaac A.
4 Hauser, Herwig
4 Heintz, Joos
4 Lazard, Daniel
4 León Sánchez, Omar
4 Ngô Viêt Trung
4 Roy, Marie-Françoise
3 Algaba, Antonio
3 Araujo, Carolina
3 Arnold, Jimmy T.
3 Aschenbrenner, Matthias
3 Berenstein, Carlos Alberto
3 Boulier, François
3 Buium, Alexandru
3 Cannonito, Frank B.
3 Chang, Gyu Whan
3 Chateauneuf, Alain
3 Chavarriga, Javier
3 Chung Graham, Fan-Rong King
3 Conder, Marston D. E.
3 de Souza Doering, Ada Maria
3 Dumortier, Freddy
3 Epstein, Neil
3 Freitag, James
3 García, Cristóbal
3 Ghazaryan, Hayk G.
3 Gianni, Patrizia M.
3 Giné, Jaume
3 Harrison-Trainor, Matthew
3 Holliday, Wesley H.
3 Hörmander, Lars Valter
3 Kabbaj, Salah-Eddine
3 Källström, Rolf
3 Korchmáros, Gábor
3 Levcovitz, Daniel
3 Lombardi, Henri
3 Marchionna, Ermanno
3 Margaryan, Vachagan N.
3 Mattei, Jean-François
3 Müller, Gerd
3 Pan Perez, Ivan
3 Perdry, Hervé
3 Perrucci, Daniel
3 Ratliff, Louis J. jun.
3 Ribón, Javier
3 Roman’kov, Vitaly Anatol’evich
3 Rouillier, Fabrice
3 Rubel, Lee Albert
3 Saavedra, Mariana
3 Sahandi, Parviz
3 Shapiro, Jay Allen
3 Trager, Barry M.
3 Wakker, Peter Paul
2 Abhyankar, Shreeram Shankar
2 Adamus, Elżbieta
2 Alvarez, María Jesus
...and 941 more Authors
all top 5

Cited in 237 Serials

72 Journal of Algebra
38 Journal of Symbolic Computation
34 Proceedings of the American Mathematical Society
33 Journal of Pure and Applied Algebra
31 Transactions of the American Mathematical Society
24 Communications in Algebra
20 Advances in Mathematics
20 Annales de l’Institut Fourier
18 Journal of Differential Equations
17 Journal of Mathematical Psychology
16 Archiv der Mathematik
16 Mathematische Annalen
12 Inventiones Mathematicae
11 Theory and Decision
10 Mathematische Zeitschrift
10 Rendiconti del Seminario Matemàtico e Fisico di Milano
10 Annals of Pure and Applied Logic
9 Archive for History of Exact Sciences
9 Theoretical Computer Science
8 Acta Mathematica
8 Compositio Mathematica
8 Journal of Economic Theory
8 Mathematical Social Sciences
8 Applicable Algebra in Engineering, Communication and Computing
7 Journal of Mathematical Analysis and Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Mathematical Economics
7 Order
7 Journal of Complexity
7 International Journal of Approximate Reasoning
7 Linear Algebra and its Applications
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Bulletin de la Société Mathématique de France
6 Publications Mathématiques
6 Synthese
6 Discrete & Computational Geometry
6 Historia Mathematica
5 Israel Journal of Mathematics
5 Journal of Soviet Mathematics
5 Manuscripta Mathematica
5 Social Choice and Welfare
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
5 Qualitative Theory of Dynamical Systems
5 Bulletin of the Brazilian Mathematical Society. New Series
5 Journal of Algebra and its Applications
4 Discrete Mathematics
4 Rocky Mountain Journal of Mathematics
4 The Mathematical Intelligencer
4 Beiträge zur Algebra und Geometrie
4 Automatica
4 Journal of Combinatorial Theory. Series A
4 Monatshefte für Mathematik
4 Siberian Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Acta Applicandae Mathematicae
4 The Journal of Geometric Analysis
4 European Journal of Operational Research
4 Mathematical Programming. Series A. Series B
4 Finite Fields and their Applications
4 Bulletin des Sciences Mathématiques
4 Bulletin of the American Mathematical Society
3 Mathematics of Computation
3 Chaos, Solitons and Fractals
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal of Combinatorial Theory. Series B
3 Journal of Number Theory
3 Memoirs of the American Mathematical Society
3 Michigan Mathematical Journal
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Ricerche di Matematica
3 Tohoku Mathematical Journal. Second Series
3 Systems & Control Letters
3 Games and Economic Behavior
3 Bulletin of the American Mathematical Society. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Economic Theory
3 Journal of the Australian Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications
2 Artificial Intelligence
2 Bulletin of the Australian Mathematical Society
2 International Journal of General Systems
2 Information Processing Letters
2 Journal of Mathematical Physics
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Algebra and Logic
2 Anais da Academia Brasileira de Ciências
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Information Sciences
2 Journal of the Mathematical Society of Japan
2 Journal of Philosophical Logic
2 Journal für die Reine und Angewandte Mathematik
2 The Journal of Symbolic Logic
2 Kybernetika
2 Mathematics and Computers in Simulation
2 Nagoya Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
...and 137 more Serials
all top 5

Cited in 54 Fields

254 Commutative algebra (13-XX)
208 Algebraic geometry (14-XX)
125 Several complex variables and analytic spaces (32-XX)
118 Field theory and polynomials (12-XX)
103 Computer science (68-XX)
83 Mathematical logic and foundations (03-XX)
82 Ordinary differential equations (34-XX)
72 Dynamical systems and ergodic theory (37-XX)
68 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
43 Number theory (11-XX)
35 Associative rings and algebras (16-XX)
34 Probability theory and stochastic processes (60-XX)
27 Manifolds and cell complexes (57-XX)
26 Combinatorics (05-XX)
25 Geometry (51-XX)
24 Numerical analysis (65-XX)
22 History and biography (01-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Group theory and generalizations (20-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Partial differential equations (35-XX)
17 Systems theory; control (93-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
13 Operations research, mathematical programming (90-XX)
12 Convex and discrete geometry (52-XX)
12 Differential geometry (53-XX)
12 Information and communication theory, circuits (94-XX)
10 Nonassociative rings and algebras (17-XX)
9 Real functions (26-XX)
8 Biology and other natural sciences (92-XX)
7 General and overarching topics; collections (00-XX)
7 Statistics (62-XX)
6 Functions of a complex variable (30-XX)
5 Topological groups, Lie groups (22-XX)
5 Difference and functional equations (39-XX)
4 Operator theory (47-XX)
4 General topology (54-XX)
3 General algebraic systems (08-XX)
3 Category theory; homological algebra (18-XX)
3 \(K\)-theory (19-XX)
3 Potential theory (31-XX)
3 Special functions (33-XX)
3 Sequences, series, summability (40-XX)
3 Approximations and expansions (41-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
2 Measure and integration (28-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
1 Abstract harmonic analysis (43-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

Citations by Year

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