Edit Profile Seidenberg, Abraham Compute Distance To: Compute Author ID: 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 Co-Authors 58 single-authored 2 Martin, Monroe Harnish 1 Cohen, Irvin Sol 1 Kraft, Charles Hall 1 Pratt, John W. all top 5 Serials 11 Archive for History of Exact Sciences 9 American Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 American Mathematical Monthly 2 L’Enseignement Mathématique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Scripta Mathematica 1 Memoirs of the College of Science, University of Kyoto, Series A 1 Annals of Mathematical Statistics all top 5 Fields 16 Commutative algebra (13-XX) 11 History and biography (01-XX) 9 Algebraic geometry (14-XX) 6 Mathematical logic and foundations (03-XX) 6 Geometry (51-XX) 5 Field theory and polynomials (12-XX) 1 Number theory (11-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 0159.33303Seidenberg, A. 177 1968 A new decision method for elementary algebra. Zbl 0056.01804Seidenberg, A. 123 1954 Intuitive probability on finite sets. Zbl 0173.19606Kraft, C. H.; Pratt, J. W.; Seidenberg, A. 107 1959 Constructions in algebra. Zbl 0356.13007Seidenberg, A. 98 1974 A note on the dimension theory of rings. Zbl 0052.26902Seidenberg, A. 56 1953 Derivations and integral closure. Zbl 0133.29202Seidenberg, A. 52 1966 Differential ideals in rings of finitely generated type. Zbl 0152.02905Seidenberg, A. 50 1967 The hyperplane sections of normal varieties. Zbl 0040.23501Seidenberg, A. 48 1950 On the dimension theory of rings. II. Zbl 0057.26802Seidenberg, A. 42 1954 Prime ideals and integral dependence. Zbl 0060.07003Cohen, I. S.; Seidenberg, A. 25 1946 Abstract differential algebra and the analytic case. Zbl 0186.07502Seidenberg, A. 23 1958 Constructions in a polynomial ring over the ring of integers. Zbl 0416.13013Seidenberg, A. 21 1978 A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003Seidenberg, A. 21 1959 Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502Seidenberg, A. 21 1956 Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502Seidenberg, A. 19 1952 Abstract differential algebra and the analytic case. II. Zbl 0186.07503Seidenberg, A. 15 1969 Lectures in projective geometry. Zbl 0121.37705Seidenberg, A. 14 1962 Construction of the integral closure of a finite integral domain. Zbl 0218.14023Seidenberg, A. 12 1971 What is Noetherian? Zbl 0345.13010Seidenberg, Abraham 10 1975 An elimination theory for differential algebra. Zbl 0083.03302Seidenberg, A. 10 1957 On the length of a Hilbert ascending chain. Zbl 0216.32802Seidenberg, A. 9 1971 The ritual origin of geometry. Zbl 0109.00201Seidenberg, A. 8 1962 Construction of the integral closure of a finite integral domain. II. Zbl 0333.13004Seidenberg, A. 7 1975 On the Lasker-Noether decomposition theorem. Zbl 0567.13006Seidenberg, A. 6 1984 The origin of mathematics. Zbl 0392.01002Seidenberg, A. 6 1978 Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507Seidenberg, A. 6 1956 Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001Seidenberg, A. 5 2005 On the area of a semi-circle. Zbl 0253.01002Seidenberg, A. 5 1972 The hyperplane sections of arithmetically normal varieties. Zbl 0252.14002Seidenberg, A. 5 1972 Analytic products. Zbl 0185.49304Seidenberg, A. 5 1969 Peg and cord in ancient Greek geometry. Zbl 0088.00402Seidenberg, A. 5 1959 Comments on Lefschetz’s principle. Zbl 0108.16903Seidenberg, A. 5 1958 Constructive proof of Hilbert’s theorem on ascending chains. Zbl 0256.13012Seidenberg, A. 4 1973 Derivations and valuation rings. Zbl 0374.13004Seidenberg, A. 3 1977 The prime ideals of a polynomial ideal under extension of the base field. Zbl 0303.13001Seidenberg, A. 3 1975 On the variety of orbits. Zbl 0182.54202Seidenberg, A. 3 1969 The diffusion of counting practices. Zbl 0104.00207Seidenberg, A. 3 1960 The ritual origin of the circle and square. Zbl 0481.01004Seidenberg, A. 2 1981 km, a widespread root for ten. Zbl 0347.01001Seidenberg, A. 2 1976 Pappus implies Desargues. Zbl 0328.50015Seidenberg, A. 2 1976 Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005Seidenberg, A. 2 1975 On the Chow form. Zbl 0299.14005Seidenberg, A. 2 1975 Analytically equivalent ideals. Zbl 0181.32402Seidenberg, A. 2 1969 Some basic theorems in partial differential algebra. Zbl 0099.02502Seidenberg, A. 2 1958 On seperating transcendency bases for differential fields. Zbl 0067.27003Seidenberg, A. 2 1955 Valuation ideals in polynomial rings. Zbl 0060.07101Seidenberg, A. 2 1945 Ratio of arc to chord. Zbl 0485.51020Seidenberg, A. 1 1982 Differential ideals in complete local rings. Zbl 0272.13001Seidenberg, A. 1 1973 On \(k\)-constructable sets, \(k\)-elementary formulae, and elimination theory. Zbl 0186.25901Seidenberg, A. 1 1969 The sixty system of Sumer. Zbl 0138.00301Seidenberg, A. 1 1965 The ritual origin of counting. Zbl 0109.00110Seidenberg, A. 1 1962 Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001Seidenberg, A. 5 2005 On the Lasker-Noether decomposition theorem. Zbl 0567.13006Seidenberg, A. 6 1984 Ratio of arc to chord. Zbl 0485.51020Seidenberg, A. 1 1982 The ritual origin of the circle and square. Zbl 0481.01004Seidenberg, A. 2 1981 Constructions in a polynomial ring over the ring of integers. Zbl 0416.13013Seidenberg, A. 21 1978 The origin of mathematics. Zbl 0392.01002Seidenberg, A. 6 1978 Derivations and valuation rings. Zbl 0374.13004Seidenberg, A. 3 1977 km, a widespread root for ten. Zbl 0347.01001Seidenberg, A. 2 1976 Pappus implies Desargues. Zbl 0328.50015Seidenberg, A. 2 1976 What is Noetherian? Zbl 0345.13010Seidenberg, Abraham 10 1975 Construction of the integral closure of a finite integral domain. II. Zbl 0333.13004Seidenberg, A. 7 1975 The prime ideals of a polynomial ideal under extension of the base field. Zbl 0303.13001Seidenberg, A. 3 1975 Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005Seidenberg, A. 2 1975 On the Chow form. Zbl 0299.14005Seidenberg, A. 2 1975 Constructions in algebra. Zbl 0356.13007Seidenberg, A. 98 1974 Constructive proof of Hilbert’s theorem on ascending chains. Zbl 0256.13012Seidenberg, A. 4 1973 Differential ideals in complete local rings. Zbl 0272.13001Seidenberg, A. 1 1973 On the area of a semi-circle. Zbl 0253.01002Seidenberg, A. 5 1972 The hyperplane sections of arithmetically normal varieties. Zbl 0252.14002Seidenberg, A. 5 1972 Construction of the integral closure of a finite integral domain. Zbl 0218.14023Seidenberg, A. 12 1971 On the length of a Hilbert ascending chain. Zbl 0216.32802Seidenberg, A. 9 1971 Abstract differential algebra and the analytic case. II. Zbl 0186.07503Seidenberg, A. 15 1969 Analytic products. Zbl 0185.49304Seidenberg, A. 5 1969 On the variety of orbits. Zbl 0182.54202Seidenberg, A. 3 1969 Analytically equivalent ideals. Zbl 0181.32402Seidenberg, A. 2 1969 On \(k\)-constructable sets, \(k\)-elementary formulae, and elimination theory. Zbl 0186.25901Seidenberg, A. 1 1969 Reduction of singularities of the differential equation Ady-Bdx. Zbl 0159.33303Seidenberg, A. 177 1968 Differential ideals in rings of finitely generated type. Zbl 0152.02905Seidenberg, A. 50 1967 Derivations and integral closure. Zbl 0133.29202Seidenberg, A. 52 1966 The sixty system of Sumer. Zbl 0138.00301Seidenberg, A. 1 1965 Lectures in projective geometry. Zbl 0121.37705Seidenberg, A. 14 1962 The ritual origin of geometry. Zbl 0109.00201Seidenberg, A. 8 1962 The ritual origin of counting. Zbl 0109.00110Seidenberg, A. 1 1962 The diffusion of counting practices. Zbl 0104.00207Seidenberg, A. 3 1960 Intuitive probability on finite sets. Zbl 0173.19606Kraft, C. H.; Pratt, J. W.; Seidenberg, A. 107 1959 A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003Seidenberg, A. 21 1959 Peg and cord in ancient Greek geometry. Zbl 0088.00402Seidenberg, A. 5 1959 Abstract differential algebra and the analytic case. Zbl 0186.07502Seidenberg, A. 23 1958 Comments on Lefschetz’s principle. Zbl 0108.16903Seidenberg, A. 5 1958 Some basic theorems in partial differential algebra. Zbl 0099.02502Seidenberg, A. 2 1958 An elimination theory for differential algebra. Zbl 0083.03302Seidenberg, A. 10 1957 Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502Seidenberg, A. 21 1956 Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507Seidenberg, A. 6 1956 On seperating transcendency bases for differential fields. Zbl 0067.27003Seidenberg, A. 2 1955 A new decision method for elementary algebra. Zbl 0056.01804Seidenberg, A. 123 1954 On the dimension theory of rings. II. Zbl 0057.26802Seidenberg, A. 42 1954 A note on the dimension theory of rings. Zbl 0052.26902Seidenberg, A. 56 1953 Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502Seidenberg, A. 19 1952 The hyperplane sections of normal varieties. Zbl 0040.23501Seidenberg, A. 48 1950 Prime ideals and integral dependence. Zbl 0060.07003Cohen, I. S.; Seidenberg, A. 25 1946 Valuation ideals in polynomial rings. Zbl 0060.07101Seidenberg, A. 2 1945 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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