Edit Profile (opens in new tab) Seidenberg, Abraham (b. 1916 d. 1988) Co-Author Distance Author ID: seidenberg.abraham Published as: Seidenberg, A.; Seidenberg, Abraham External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 62 Publications since 1937, including 2 Books Biographic References: 2 Publications Co-Authors: 4 Co-Authors with 4 Joint Publications 33 Co-Co-Authors 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 15 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 Open 50 Publications have been cited 1,155 times in 1,010 Documents Cited by ▼ Year ▼ Reduction of singularities of the differential equation Ady-Bdx. Zbl 0159.33303Seidenberg, A. 210 1968 A new decision method for elementary algebra. Zbl 0056.01804Seidenberg, A. 140 1954 Intuitive probability on finite sets. Zbl 0173.19606Kraft, C. H.; Pratt, J. W.; Seidenberg, A. 123 1959 Constructions in algebra. Zbl 0356.13007Seidenberg, A. 107 1974 The hyperplane sections of normal varieties. Zbl 0040.23501Seidenberg, A. 60 1950 A note on the dimension theory of rings. Zbl 0052.26902Seidenberg, A. 58 1953 Derivations and integral closure. Zbl 0133.29202Seidenberg, A. 56 1966 Differential ideals in rings of finitely generated type. Zbl 0152.02905Seidenberg, A. 53 1967 On the dimension theory of rings. II. Zbl 0057.26802Seidenberg, A. 44 1954 A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003Seidenberg, A. 26 1959 Abstract differential algebra and the analytic case. Zbl 0186.07502Seidenberg, A. 26 1958 Prime ideals and integral dependence. Zbl 0060.07003Cohen, I. S.; Seidenberg, A. 25 1946 Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502Seidenberg, A. 21 1952 Constructions in a polynomial ring over the ring of integers. Zbl 0416.13013Seidenberg, A. 21 1978 Abstract differential algebra and the analytic case. II. Zbl 0186.07503Seidenberg, A. 15 1969 Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502Seidenberg, A. 14 1956 Lectures in projective geometry. Zbl 0121.37705Seidenberg, A. 13 1962 What is Noetherian? Zbl 0345.13010Seidenberg, Abraham 12 1975 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. 10 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 Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507Seidenberg, A. 7 1956 On the Lasker-Noether decomposition theorem. Zbl 0567.13006Seidenberg, A. 6 1984 The origin of mathematics. Zbl 0392.01002Seidenberg, A. 6 1978 Peg and cord in ancient Greek geometry. Zbl 0088.00402Seidenberg, A. 6 1959 On the area of a semi-circle. Zbl 0253.01002Seidenberg, A. 6 1972 Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001Seidenberg, A. 5 2005 Comments on Lefschetz’s principle. Zbl 0108.16903Seidenberg, A. 5 1958 The hyperplane sections of arithmetically normal varieties. Zbl 0252.14002Seidenberg, A. 5 1972 Analytic products. Zbl 0185.49304Seidenberg, A. 5 1969 The prime ideals of a polynomial ideal under extension of the base field. Zbl 0303.13001Seidenberg, A. 4 1975 An elimination theory for differential algebra. Zbl 0083.03302Seidenberg, A. 4 1957 The diffusion of counting practices. Zbl 0104.00207Seidenberg, A. 4 1960 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 On the variety of orbits. Zbl 0182.54202Seidenberg, A. 3 1969 On the Chow form. Zbl 0299.14005Seidenberg, A. 2 1975 Pappus implies Desargues. Zbl 0328.50015Seidenberg, A. 2 1976 km, a widespread root for ten. Zbl 0347.01001Seidenberg, A. 2 1976 Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005Seidenberg, A. 2 1975 Valuation ideals in polynomial rings. Zbl 0060.07101Seidenberg, A. 2 1945 Some basic theorems in partial differential algebra. Zbl 0099.02502Seidenberg, A. 2 1958 The ritual origin of the circle and square. Zbl 0481.01004Seidenberg, A. 2 1981 Analytically equivalent ideals. Zbl 0181.32402Seidenberg, A. 2 1969 On the volume of a sphere. Zbl 0767.01002Seidenberg, A. 1 1988 Differential ideals in complete local rings. Zbl 0272.13001Seidenberg, A. 1 1973 The ritual origin of counting. Zbl 0109.00110Seidenberg, A. 1 1962 The sixty system of Sumer. Zbl 0138.00301Seidenberg, A. 1 1965 On \(k\)-constructable sets, \(k\)-elementary formulae, and elimination theory. Zbl 0186.25901Seidenberg, A. 1 1969 Lectures in projective geometry. Reprint of the 1962 original published by D. Van Nostrand Company. Zbl 1227.51001Seidenberg, A. 5 2005 On the volume of a sphere. Zbl 0767.01002Seidenberg, A. 1 1988 On the Lasker-Noether decomposition theorem. Zbl 0567.13006Seidenberg, A. 6 1984 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 Pappus implies Desargues. Zbl 0328.50015Seidenberg, A. 2 1976 km, a widespread root for ten. Zbl 0347.01001Seidenberg, A. 2 1976 What is Noetherian? Zbl 0345.13010Seidenberg, Abraham 12 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. 4 1975 On the Chow form. Zbl 0299.14005Seidenberg, A. 2 1975 Did Euclid’s elements, Book I, develop geometry axiomatically? Zbl 0357.01005Seidenberg, A. 2 1975 Constructions in algebra. Zbl 0356.13007Seidenberg, A. 107 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. 6 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. 10 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. 210 1968 Differential ideals in rings of finitely generated type. Zbl 0152.02905Seidenberg, A. 53 1967 Derivations and integral closure. Zbl 0133.29202Seidenberg, A. 56 1966 The sixty system of Sumer. Zbl 0138.00301Seidenberg, A. 1 1965 Lectures in projective geometry. Zbl 0121.37705Seidenberg, A. 13 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. 4 1960 Intuitive probability on finite sets. Zbl 0173.19606Kraft, C. H.; Pratt, J. W.; Seidenberg, A. 123 1959 A simple proof of a theorem of Erdős and Szekeres. Zbl 0085.15003Seidenberg, A. 26 1959 Peg and cord in ancient Greek geometry. Zbl 0088.00402Seidenberg, A. 6 1959 Abstract differential algebra and the analytic case. Zbl 0186.07502Seidenberg, A. 26 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. 4 1957 Contribution to the Picard-Vessiot theory of homogeneous linear differential equations. Zbl 0072.26502Seidenberg, A. 14 1956 Some remarks on Hilbert’s Nullstellensatz. Zbl 0074.25507Seidenberg, A. 7 1956 A new decision method for elementary algebra. Zbl 0056.01804Seidenberg, A. 140 1954 On the dimension theory of rings. II. Zbl 0057.26802Seidenberg, A. 44 1954 A note on the dimension theory of rings. Zbl 0052.26902Seidenberg, A. 58 1953 Some basic theorems in differential algebra (characteristic \(p\), arbitrary). Zbl 0047.03502Seidenberg, A. 21 1952 The hyperplane sections of normal varieties. Zbl 0040.23501Seidenberg, A. 60 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 1,151 Authors 18 Scardua, Bruno 18 Seidenberg, Abraham 14 Fishburn, Peter Clingerman 13 Cano, Felipe 10 Coletti, Giulianella 10 Valls Anglés, Cláudia 10 Vantaggi, Barbara 9 Heinzer, William J. 9 Sanz Sánchez, Fernando 9 Toan, Phan Thanh 8 Ferragut, Antoni 8 Kang, Byung Gyun 8 Llibre, Jaume 7 Corral, Nuria 7 Dobbs, David Earl 7 Galindo Pastor, Carlos 7 Gilmer, Robert W. jun. 7 Mol, Rogério S. 7 Rebelo, Julio C. 7 Slinko, Arkadii M. 7 Solernó, Pablo 6 Camacho, César 6 Jeronimo, Gabriela 6 Lequain, Yves 6 Molinelli, Silvia 6 Monserrat, Francisco 6 Vasconcelos, Wolmer V. 5 Ahmadi, Amir Ali 5 Cerveau, Dominique 5 Fontana, Marco 5 Grigor’ev, Dmitriĭ Yur’evich 5 Haouat, Youssef 5 Holliday, Wesley H. 5 Moussu, Robert 5 Pan Perez, Ivan 5 Rothblum, Uriel George 5 Singer, Michael F. 5 Singh, Balwant 5 Tamone, Grazia 4 Baumslag, Gilbert 4 Brown, William C. 4 Cahen, Paul-Jean 4 Capotorti, Andrea 4 Chang, Gyu Whan 4 Coutinho, S. C. 4 D’Alfonso, Lisi 4 Eaves, B. Curtis 4 García, Isaac A. 4 Harrison-Trainor, Matthew 4 Hauser, Herwig 4 Heintz, Joos 4 Lazard, Daniel 4 Lins Neto, Alcides 4 Mundici, Daniele 4 Ngô Viêt Trung 4 Pogudin, Gleb A. 4 Rosas, Rudy 4 Roy, Marie-Françoise 3 Algaba, Antonio 3 Araujo, Carolina 3 Arnold, Jimmy T. 3 Aschenbrenner, Matthias 3 Berenstein, Carlos Alberto 3 Bossert, Walter 3 Boulier, François 3 Buium, Alexandru 3 Cannonito, Frank B. 3 Chateauneuf, Alain 3 Chavarriga, Javier 3 Chipalkatti, Jaydeep V. 3 Chistov, Alexandre L. 3 Chung, Fan 3 Conder, Marston Donald Edward 3 de Souza Doering, Ada Maria 3 Druel, Stéphane 3 Dumortier, Freddy 3 Epstein, Neil 3 Fortuny Ayuso, Pedro 3 Freitag, James 3 García, Cristóbal 3 Ghazaryan, Hayk G. 3 Gianni, Patrizia M. 3 Giné, Jaume 3 Göral, Haydar 3 Gurjar, Rajendra Vasant 3 Hörmander, Lars Valter 3 Icard, Thomas F. III 3 Jackson, Bill 3 Kabbaj, Salah-Eddine 3 Källström, Rolf 3 Koike, Satoshi 3 Korchmáros, Gábor 3 León Sánchez, Omar 3 Levcovitz, Daniel 3 Lombardi, Henri 3 Loper, Kenneth Alan 3 Manaresi, Mirella 3 Marchionna, Ermanno 3 Margaryan, Vachagan N. 3 Masuda, Kayo ...and 1,051 more Authors all top 5 Cited in 259 Serials 71 Journal of Algebra 36 Proceedings of the American Mathematical Society 35 Journal of Pure and Applied Algebra 35 Journal of Symbolic Computation 33 Transactions of the American Mathematical Society 26 Communications in Algebra 20 Advances in Mathematics 20 Annales de l’Institut Fourier 18 Journal of Differential Equations 18 Journal of Mathematical Psychology 16 Archiv der Mathematik 16 Mathematische Annalen 13 Inventiones Mathematicae 12 Mathematische Zeitschrift 11 Theory and Decision 10 Rendiconti del Seminario Matemàtico e Fisico di Milano 10 Annals of Pure and Applied Logic 9 Archive for History of Exact Sciences 9 Journal of Economic Theory 9 Mathematical Social Sciences 9 Order 9 International Journal of Approximate Reasoning 9 Bulletin des Sciences Mathématiques 8 Acta Mathematica 8 Compositio Mathematica 8 Theoretical Computer Science 8 Applicable Algebra in Engineering, Communication and Computing 8 Qualitative Theory of Dynamical Systems 7 Journal of Mathematical Analysis and Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Bulletin de la Société Mathématique de France 7 Journal of Mathematical Economics 7 Journal of Complexity 7 Linear Algebra and its Applications 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Israel Journal of Mathematics 6 Publications Mathématiques 6 Synthese 6 Discrete & Computational Geometry 6 Historia Mathematica 6 Journal of Algebra and its Applications 5 Beiträge zur Algebra und Geometrie 5 Journal of Soviet Mathematics 5 Manuscripta Mathematica 5 Social Choice and Welfare 5 Mathematical Programming. Series A. Series B 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Discrete Mathematics 4 Rocky Mountain Journal of Mathematics 4 Mathematics of Computation 4 The Mathematical Intelligencer 4 Automatica 4 Journal of Combinatorial Theory. Series A 4 Journal of Philosophical Logic 4 The Journal of Symbolic Logic 4 Monatshefte für Mathematik 4 Siberian Mathematical Journal 4 Ergodic Theory and Dynamical Systems 4 Systems & Control Letters 4 Acta Applicandae Mathematicae 4 The Journal of Geometric Analysis 4 Games and Economic Behavior 4 European Journal of Operational Research 4 Finite Fields and their Applications 4 Bulletin of the American Mathematical Society 3 Artificial Intelligence 3 Information Processing Letters 3 Chaos, Solitons and Fractals 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Duke Mathematical Journal 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series B 3 Journal of the London Mathematical Society. Second Series 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Ricerche di Matematica 3 Tôhoku Mathematical Journal. Second Series 3 European Journal of Combinatorics 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 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 Journal of Singularities 3 Nonlinear Analysis. Theory, Methods & Applications 2 Bulletin of the Australian Mathematical Society 2 International Journal of General Systems 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 ...and 159 more Serials all top 5 Cited in 54 Fields 272 Commutative algebra (13-XX) 239 Algebraic geometry (14-XX) 158 Several complex variables and analytic spaces (32-XX) 112 Field theory and polynomials (12-XX) 110 Computer science (68-XX) 102 Mathematical logic and foundations (03-XX) 90 Dynamical systems and ergodic theory (37-XX) 84 Ordinary differential equations (34-XX) 78 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Number theory (11-XX) 39 Probability theory and stochastic processes (60-XX) 38 Associative rings and algebras (16-XX) 32 Combinatorics (05-XX) 30 Manifolds and cell complexes (57-XX) 29 Geometry (51-XX) 26 History and biography (01-XX) 25 Numerical analysis (65-XX) 23 Global analysis, analysis on manifolds (58-XX) 21 Group theory and generalizations (20-XX) 19 Partial differential equations (35-XX) 19 Operations research, mathematical programming (90-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Systems theory; control (93-XX) 14 Convex and discrete geometry (52-XX) 14 Information and communication theory, circuits (94-XX) 12 Differential geometry (53-XX) 10 Nonassociative rings and algebras (17-XX) 9 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 8 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 6 Functions of a complex variable (30-XX) 6 General topology (54-XX) 5 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 3 General algebraic systems (08-XX) 3 \(K\)-theory (19-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mathematics education (97-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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