Edit Profile Schwartz, Niels Compute Distance To: Compute Author ID: schwartz.niels Published as: Schwartz, N.; Schwartz, Niels External Links: MGP · Wikidata Documents Indexed: 49 Publications since 1977, including 5 Books Reviewing Activity: 154 Reviews all top 5 Co-Authors 38 single-authored 2 Becker, Eberhard 2 Madden, James J. 2 Tressl, Marcus 1 Coste, Michel 1 Dickmann, Max A. 1 Kleinschmidt, Peter 1 Kuhlmann, Salma 1 Marshall, Murray Angus 1 Prestel, Alexander 1 Scheiderer, Claus 1 Sturmfels, Bernd 1 Yang, Yichuan all top 5 Serials 5 Journal of Algebra 3 Communications in Algebra 2 Rocky Mountain Journal of Mathematics 2 Algebra Universalis 2 Archiv der Mathematik 2 Journal of Pure and Applied Algebra 2 Pacific Journal of Mathematics 2 Order 1 Arkiv för Matematik 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Revista Matemática de la Universidad Complutense de Madrid 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 Advances in Geometry 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 New Mathematical Monographs all top 5 Fields 23 Algebraic geometry (14-XX) 20 Commutative algebra (13-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Field theory and polynomials (12-XX) 7 General topology (54-XX) 5 Number theory (11-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 256 times in 169 Documents Cited by ▼ Year ▼ Elementary properties of minimal and maximal points in Zariski spectra. Zbl 1198.13023Schwartz, Niels; Tressl, Marcus 31 2010 Positivity, sums of squares and the multi-dimensional moment problem. II. Zbl 1095.14055Kuhlmann, S.; Marshall, M.; Schwartz, N. 26 2005 The basic theory of real closed spaces. Zbl 0697.14015Schwartz, Niels 19 1989 Semi-algebraic function rings and reflectors of partially ordered rings. Zbl 0967.14038Schwartz, Niels; Madden, James J. 17 1999 Zum Darstellungssatz von Kadison-Dubois. Zbl 0514.12023Becker, Eberhard; Schwartz, Niels 15 1983 Spectral spaces. Zbl 06931498Dickmann, Max; Schwartz, Niels; Tressl, Marcus 11 2019 Lattice-ordered fields. Zbl 0603.06009Schwartz, Niels 11 1986 Rings of continuous functions as real closed rings. Zbl 0885.46024Schwartz, Niels 10 1997 Stability of Gröbner bases. Zbl 0664.13006Schwartz, Niels 10 1988 Real closed rings. Zbl 0616.14019Schwartz, N. 10 1986 Model theory of real closed rings. Zbl 1018.12009Prestel, Alexander; Schwartz, Niels 9 2002 Real closed spaces. Zbl 0576.14023Schwartz, Niels 9 1984 Chain signatures and real closures. Zbl 0531.12017Schwartz, Niels 8 1984 Epimorphic extensions and Prüfer extensions of partially ordered rings. Zbl 0966.13018Schwartz, Niels 7 2000 Fields with directed partial orders. Zbl 1269.12005Schwartz, Niels; Yang, Yichuan 6 2011 Compactification of varieties. Zbl 0724.14036Schwartz, N. 6 1990 Gabriel filters in real closed rings. Zbl 0899.13027Schwartz, Niels 5 1997 Eine universelle Eigenschaft reell abgeschlossener Räume. (A universal property of real closed spaces). Zbl 0726.14036Schwartz, Niels 5 1990 Sheaves of abelian \(l\)-groups. Zbl 1293.13002Schwartz, Niels 4 2013 The basic theory of real closed spaces. Zbl 0634.14014Schwartz, Niels 4 1987 Real closed spaces. Zbl 0586.14016Schwartz, Niels 4 1984 Locales as spectral spaces. Zbl 1288.06020Schwartz, Niels 3 2013 Real closed valuation rings. Zbl 1184.13072Schwartz, Niels 3 2009 Inverse real closed spaces. Zbl 0758.14040Schwartz, Niels 3 1991 Open locally semi-algebraic maps. Zbl 0697.14016Schwartz, Niels 3 1988 Der Raum der Zusammenhangskomponenten einer reellen Varietät. Zbl 0508.14015Schwartz, Niels 3 1983 SV-rings and SV-porings. Zbl 1220.06009Schwartz, Niels 2 2010 Convex subrings of partially ordered rings. Zbl 1196.13015Schwartz, Niels 2 2010 Epimorphisms of f-rings. Zbl 0705.06013Schwartz, Niels 2 1989 Spectral reflections of topological spaces. Zbl 1388.54013Schwartz, Niels 1 2017 Graph components of prime spectra. Zbl 1247.13010Schwartz, Niels 1 2011 Separating ideals in dimension 2. Zbl 0942.13022Madden, James J.; Schwartz, Niels 1 1997 Bounds for the postulation numbers of Hilbert functions. Zbl 0952.13003Schwartz, Niels 1 1997 Piecewise polynomial functions. Zbl 0827.13008Schwartz, Niels 1 1993 Unimodular fans, linear codes, and toric manifolds. Zbl 0756.14029Kleinschmidt, Peter; Schwartz, Niels; Sturmfels, Bernd 1 1991 Open morphisms of real closed spaces. Zbl 0733.14024Schwartz, Niels 1 1989 Local stability and saturation in spaces of orderings. Zbl 0495.12022Schwartz, Niels 1 1983 Spectral spaces. Zbl 06931498Dickmann, Max; Schwartz, Niels; Tressl, Marcus 11 2019 Spectral reflections of topological spaces. Zbl 1388.54013Schwartz, Niels 1 2017 Sheaves of abelian \(l\)-groups. Zbl 1293.13002Schwartz, Niels 4 2013 Locales as spectral spaces. Zbl 1288.06020Schwartz, Niels 3 2013 Fields with directed partial orders. Zbl 1269.12005Schwartz, Niels; Yang, Yichuan 6 2011 Graph components of prime spectra. Zbl 1247.13010Schwartz, Niels 1 2011 Elementary properties of minimal and maximal points in Zariski spectra. Zbl 1198.13023Schwartz, Niels; Tressl, Marcus 31 2010 SV-rings and SV-porings. Zbl 1220.06009Schwartz, Niels 2 2010 Convex subrings of partially ordered rings. Zbl 1196.13015Schwartz, Niels 2 2010 Real closed valuation rings. Zbl 1184.13072Schwartz, Niels 3 2009 Positivity, sums of squares and the multi-dimensional moment problem. II. Zbl 1095.14055Kuhlmann, S.; Marshall, M.; Schwartz, N. 26 2005 Model theory of real closed rings. Zbl 1018.12009Prestel, Alexander; Schwartz, Niels 9 2002 Epimorphic extensions and Prüfer extensions of partially ordered rings. Zbl 0966.13018Schwartz, Niels 7 2000 Semi-algebraic function rings and reflectors of partially ordered rings. Zbl 0967.14038Schwartz, Niels; Madden, James J. 17 1999 Rings of continuous functions as real closed rings. Zbl 0885.46024Schwartz, Niels 10 1997 Gabriel filters in real closed rings. Zbl 0899.13027Schwartz, Niels 5 1997 Separating ideals in dimension 2. Zbl 0942.13022Madden, James J.; Schwartz, Niels 1 1997 Bounds for the postulation numbers of Hilbert functions. Zbl 0952.13003Schwartz, Niels 1 1997 Piecewise polynomial functions. Zbl 0827.13008Schwartz, Niels 1 1993 Inverse real closed spaces. Zbl 0758.14040Schwartz, Niels 3 1991 Unimodular fans, linear codes, and toric manifolds. Zbl 0756.14029Kleinschmidt, Peter; Schwartz, Niels; Sturmfels, Bernd 1 1991 Compactification of varieties. Zbl 0724.14036Schwartz, N. 6 1990 Eine universelle Eigenschaft reell abgeschlossener Räume. (A universal property of real closed spaces). Zbl 0726.14036Schwartz, Niels 5 1990 The basic theory of real closed spaces. Zbl 0697.14015Schwartz, Niels 19 1989 Epimorphisms of f-rings. Zbl 0705.06013Schwartz, Niels 2 1989 Open morphisms of real closed spaces. Zbl 0733.14024Schwartz, Niels 1 1989 Stability of Gröbner bases. Zbl 0664.13006Schwartz, Niels 10 1988 Open locally semi-algebraic maps. Zbl 0697.14016Schwartz, Niels 3 1988 The basic theory of real closed spaces. Zbl 0634.14014Schwartz, Niels 4 1987 Lattice-ordered fields. Zbl 0603.06009Schwartz, Niels 11 1986 Real closed rings. Zbl 0616.14019Schwartz, N. 10 1986 Real closed spaces. Zbl 0576.14023Schwartz, Niels 9 1984 Chain signatures and real closures. Zbl 0531.12017Schwartz, Niels 8 1984 Real closed spaces. Zbl 0586.14016Schwartz, Niels 4 1984 Zum Darstellungssatz von Kadison-Dubois. Zbl 0514.12023Becker, Eberhard; Schwartz, Niels 15 1983 Der Raum der Zusammenhangskomponenten einer reellen Varietät. Zbl 0508.14015Schwartz, Niels 3 1983 Local stability and saturation in spaces of orderings. Zbl 0495.12022Schwartz, Niels 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 143 Authors 15 Schwartz, Niels 9 Finocchiaro, Carmelo Antonio 7 Fontana, Marco 7 Marshall, Murray Angus 6 Berr, Ralph 6 Gamboa Mutuberria, José Manuel 6 Kuhlmann, Salma 6 Madden, James J. 6 Netzer, Tim 6 Scheiderer, Claus 6 Spirito, Dario 5 Cimprič, Jaka 5 Fernando, José F. 5 Hager, Anthony W. 5 Ma, Jingjing 4 Dickmann, Max A. 4 Martínez, Jorge L. 4 Olberding, Bruce M. 4 Redfield, Robert H. 3 Becker, Eberhard 3 Loper, Kenneth Alan 3 Lucas, François 3 Yang, Yi-Chuan 3 Yang, Yichuan 2 Abuhlail, Jawad Y. 2 Andradas, Carlos 2 Astier, Vincent 2 Fritz, Tobias 2 Gehrke, Mai 2 Ghasemi, Mehdi 2 Gondard, Danielle 2 Huber, Roland 2 Infusino, Maria 2 Klep, Igor 2 Larson, Suzanne 2 Lasserre, Jean-Bernard 2 Mall, Daniel 2 McGovern, Warren Wm. 2 Miraglia, Francisco 2 Monnier, Jean-Philippe 2 Petrovich, Alejandro Gustavo 2 Powers, Victoria Ann 2 Putinar, Mihai 2 Ruiz, Jesús M. 2 Schaub, Daniel 2 Schweighofer, Markus 2 Spivakovsky, Mark 2 Tressl, Marcus 2 van Gool, Samuel Jacob 2 Weispfenning, Volker 1 Albeverio, Sergio A. 1 Alonso García, María Emilia 1 Arnborg, Stefan 1 Augustin, Doris 1 Bai, Ruiqi 1 Banerjee, Abhishek 1 Becker, Thomas M. 1 Bilski, Paweł 1 Bröcker, Ludwig 1 Capco, Jose 1 Castro, Jaime 1 Collart, Stéphane 1 Coquand, Thierry 1 Cucker, Felipe 1 de Las Cuevas, Gemma 1 Delon, Françoise 1 Edmundo, Mário J. 1 Efrat, Ido 1 El Bashir, Robert 1 Escorcielo, Paula 1 Ettinger, Boris 1 Farré, Rafel 1 Fichou, Goulwen 1 Fischer, Andreas M. 1 Gatalevych, Andrij 1 Gluschankof, Daniel 1 Golasiński, Marek 1 Guier, Jorge I. 1 Haykazyan, Levon 1 Hedayat, Sina 1 Herfort, Wolfgang N. 1 Herzberg, Frederik S. 1 Hurt, Jan 1 Jančařík, Antonín 1 Jow, Shin-Yao 1 Kalhoff, Franz B. 1 Kazarnovskiĭ, Boris Yakovlevich 1 Kepka, Tomas 1 Khovanskiĭ, Askold Georgievich 1 Klingler, Lee C. 1 Knebusch, Manfred 1 Krause, Ulrich 1 Kuna, Tobias 1 Kusraev, Anatoly Georgievich 1 Levy, Ronnie 1 Lombardi, Henri 1 Mahboubi, Assia 1 Mahé, Louis 1 Marra, Vincenzo 1 McEnerney, James ...and 43 more Authors all top 5 Cited in 64 Serials 25 Journal of Pure and Applied Algebra 16 Communications in Algebra 16 Journal of Algebra 8 Mathematische Zeitschrift 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Manuscripta Mathematica 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Journal of Symbolic Computation 4 Applied Categorical Structures 3 Archiv der Mathematik 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Algebra Universalis 2 Mathematische Nachrichten 2 Archive for Mathematical Logic 2 Applicable Algebra in Engineering, Communication and Computing 2 Bulletin des Sciences Mathématiques 2 Positivity 2 Journal of Algebra and its Applications 1 Communications in Mathematical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Theoretical Computer Science 1 Annals of Pure and Applied Logic 1 Order 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 International Journal of Approximate Reasoning 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Algebra Colloquium 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 The New York Journal of Mathematics 1 Soft Computing 1 Algebras and Representation Theory 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Algebra & Number Theory 1 European Journal of Mathematics 1 Cogent Mathematics 1 Actes des Rencontres du C.I.R.M. all top 5 Cited in 29 Fields 95 Commutative algebra (13-XX) 72 Algebraic geometry (14-XX) 42 Order, lattices, ordered algebraic structures (06-XX) 39 Field theory and polynomials (12-XX) 28 General topology (54-XX) 17 Mathematical logic and foundations (03-XX) 17 Number theory (11-XX) 16 Associative rings and algebras (16-XX) 13 Category theory; homological algebra (18-XX) 9 Integral transforms, operational calculus (44-XX) 9 Functional analysis (46-XX) 7 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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