Edit Profile Warner, Seth Compute Distance To: Compute Author ID: warner.seth Published as: Warner, S.; Warner, Seth Homepage: https://math.duke.edu/people/seth-l-warner External Links: MGP · Wikidata Documents Indexed: 53 Publications since 1955, including 5 Books all top 5 Co-Authors 43 single-authored 3 Beckenstein, Edward 3 Narici, Lawrence 2 Shanks, Merrill E. 1 Bachman, George 1 Blair, Alexander 1 Heine, Jürgen 1 Lucke, James B. 1 Ng, Shu-Bun 1 Rigo, Thomas 1 Suffel, Charles L. all top 5 Serials 8 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Duke Mathematical Journal 5 Mathematische Annalen 4 Bulletin of the American Mathematical Society 3 Illinois Journal of Mathematics 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematica Scandinavica 2 Pacific Journal of Mathematics 2 North-Holland Mathematics Studies 1 American Mathematical Monthly 1 Journal d’Analyse Mathématique 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Michigan Mathematical Journal 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Forum Mathematicum 1 Dover Books on Advanced Mathematics all top 5 Fields 17 Field theory and polynomials (12-XX) 17 Commutative algebra (13-XX) 13 Associative rings and algebras (16-XX) 6 Functional analysis (46-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 301 times in 249 Documents Cited by ▼ Year ▼ The topology of compact convergence on continuous function spaces. Zbl 0081.32802Warner, Seth 64 1958 Topological fields. Zbl 0683.12014Warner, Seth 47 1989 Topological rings. Zbl 0785.13008Warner, Seth 22 1993 Rings of continuous functions with values in a topological field. Zbl 0299.54016Bachman, George; Beckenstein, Edward; Narici, Lawrence; Warner, Seth 20 1975 Inductive limits of normed algebras. Zbl 0070.34101Warner, Seth 17 1956 Polynomial completeness in locally multiplicatively-convex algebras. Zbl 0070.11801Warner, Seth 15 1956 Linearly compact rings and modules. Zbl 0233.16036Warner, Seth 13 1972 Modern algebra. Vols. I, II. Zbl 0134.24903Warner, Seth 12 1965 Compact rings. Zbl 0116.02703Warner, Seth 11 1962 Compact Noetherian rings. Zbl 0104.03502Warner, Seth 9 1960 Locally bounded topologies on the rational field. Zbl 0342.12103Shanks, M. E.; Warner, Seth 6 1976 Topologies on the rational field. Zbl 0276.12103Shanks, M. E.; Warner, Seth 5 1974 Continuity of positive and multiplicative functionals. Zbl 0246.46038Ng, Shu-Bun; Warner, Seth 5 1972 Characters of Cartesian products of algebras. Zbl 0086.25504Warner, Seth 5 1959 Weak locally multiplicatively-convex algebras. Zbl 0067.08701Warner, Seth 5 1955 Ring topologies on the quotient field of a Dedekind domain. Zbl 0281.13008Heine, J.; Warner, Seth 4 1973 A topological characterization of complete, discretely valued fields. Zbl 0271.12106Warner, Seth 4 1973 Openly embedding local noetherian domains. Zbl 0232.13021Warner, Seth 3 1972 Locally compact rings having a topologically nilpotent unit. Zbl 0185.10003Warner, S. 3 1969 Locally compact vector spaces and algebras over discrete fields. Zbl 0157.20002Warner, S. 3 1968 Locally compact equicharacteristic semilocal rings. Zbl 0155.36601Warner, S. 3 1968 Compact rings and Stone-Čech compactifications. Zbl 0093.12502Warner, Seth 3 1960 Weakly topologized algebras. Zbl 0078.29202Warner, Seth 3 1957 Nonuniqueness of immediate maximal extensions of a valuation. Zbl 0559.12015Warner, Seth 2 1985 Locally compact commutative artinian rings. Zbl 0227.16032Warner, Seth 2 1972 Normability of certain topological rings. Zbl 0215.37004Warner, Seth 2 1972 Compact and finite-dimensional locally compact vector spaces. Zbl 0172.39402Warner, S. 2 1969 Linearly compact Noetherian rings. Zbl 0192.38203Warner, S. 2 1968 Compactly generated algebras over discrete fields. Zbl 0154.14101Warner, Seth 2 1967 Residual fields in valuation theory. Zbl 0559.12014Warner, Seth 1 1985 Three-space problems in commutative algebras. Zbl 0511.46069Beckenstein, Edward; Narici, Lawrence; Warner, Seth 1 1983 Maximal ideals in algebras of continuous functions. Zbl 0345.54013Beckenstein, Edward; Narici, Lawrence; Suffel, Charles; Warner, Seth 1 1977 Classical modern algebra. Zbl 0225.12001Warner, Seth 1 1971 Locally compact simple rings having minimal left ideals. Zbl 0154.03203Warner, S. 1 1966 Bornological structures. Zbl 0093.29803Warner, Seth 1 1960 On symmetry in convex topological vector spaces. Zbl 0064.35603Warner, Seth; Blair, Alexander 1 1955 Topological rings. Zbl 0785.13008Warner, Seth 22 1993 Topological fields. Zbl 0683.12014Warner, Seth 47 1989 Nonuniqueness of immediate maximal extensions of a valuation. Zbl 0559.12015Warner, Seth 2 1985 Residual fields in valuation theory. Zbl 0559.12014Warner, Seth 1 1985 Three-space problems in commutative algebras. Zbl 0511.46069Beckenstein, Edward; Narici, Lawrence; Warner, Seth 1 1983 Maximal ideals in algebras of continuous functions. Zbl 0345.54013Beckenstein, Edward; Narici, Lawrence; Suffel, Charles; Warner, Seth 1 1977 Locally bounded topologies on the rational field. Zbl 0342.12103Shanks, M. E.; Warner, Seth 6 1976 Rings of continuous functions with values in a topological field. Zbl 0299.54016Bachman, George; Beckenstein, Edward; Narici, Lawrence; Warner, Seth 20 1975 Topologies on the rational field. Zbl 0276.12103Shanks, M. E.; Warner, Seth 5 1974 Ring topologies on the quotient field of a Dedekind domain. Zbl 0281.13008Heine, J.; Warner, Seth 4 1973 A topological characterization of complete, discretely valued fields. Zbl 0271.12106Warner, Seth 4 1973 Linearly compact rings and modules. Zbl 0233.16036Warner, Seth 13 1972 Continuity of positive and multiplicative functionals. Zbl 0246.46038Ng, Shu-Bun; Warner, Seth 5 1972 Openly embedding local noetherian domains. Zbl 0232.13021Warner, Seth 3 1972 Locally compact commutative artinian rings. Zbl 0227.16032Warner, Seth 2 1972 Normability of certain topological rings. Zbl 0215.37004Warner, Seth 2 1972 Classical modern algebra. Zbl 0225.12001Warner, Seth 1 1971 Locally compact rings having a topologically nilpotent unit. Zbl 0185.10003Warner, S. 3 1969 Compact and finite-dimensional locally compact vector spaces. Zbl 0172.39402Warner, S. 2 1969 Locally compact vector spaces and algebras over discrete fields. Zbl 0157.20002Warner, S. 3 1968 Locally compact equicharacteristic semilocal rings. Zbl 0155.36601Warner, S. 3 1968 Linearly compact Noetherian rings. Zbl 0192.38203Warner, S. 2 1968 Compactly generated algebras over discrete fields. Zbl 0154.14101Warner, Seth 2 1967 Locally compact simple rings having minimal left ideals. Zbl 0154.03203Warner, S. 1 1966 Modern algebra. Vols. I, II. Zbl 0134.24903Warner, Seth 12 1965 Compact rings. Zbl 0116.02703Warner, Seth 11 1962 Compact Noetherian rings. Zbl 0104.03502Warner, Seth 9 1960 Compact rings and Stone-Čech compactifications. Zbl 0093.12502Warner, Seth 3 1960 Bornological structures. Zbl 0093.29803Warner, Seth 1 1960 Characters of Cartesian products of algebras. Zbl 0086.25504Warner, Seth 5 1959 The topology of compact convergence on continuous function spaces. Zbl 0081.32802Warner, Seth 64 1958 Weakly topologized algebras. Zbl 0078.29202Warner, Seth 3 1957 Inductive limits of normed algebras. Zbl 0070.34101Warner, Seth 17 1956 Polynomial completeness in locally multiplicatively-convex algebras. Zbl 0070.11801Warner, Seth 15 1956 Weak locally multiplicatively-convex algebras. Zbl 0067.08701Warner, Seth 5 1955 On symmetry in convex topological vector spaces. Zbl 0064.35603Warner, Seth; Blair, Alexander 1 1955 all cited Publications top 5 cited Publications all top 5 Cited by 237 Authors 15 Warner, Seth 11 Kuhlmann, Franz-Viktor 5 Abel, Mati 5 Beckenstein, Edward 5 El Kinani, Abdellah 5 Kąkol, Jerzy 5 Mallios, Anastasios 5 Marcos, José E. 5 Narici, Lawrence 5 Oudadess, Mohamed 5 Vechtomov, Evgeniĭ Mikhaĭlovich 4 Saxon, Stephen A. 4 Tabaâ, Mohamed 4 Todd, Aaron R. 4 Ursul, Mihail I. 3 Arkhangel’skiĭ, Aleksandr Vladimirovich 3 Blaszczok, Anna 3 Cohen, Jo-Ann D. 3 Gregorio, Enrico 3 Grundhöfer, Theo 3 Katsaras, Athanasios K. 3 Kundu, Subiman 3 McCoy, Robert A. 3 Oubbi, Lahbib 3 Pérez Tiscareño, Reyna María 3 Pombo, Dinamérico Pereira jun. 3 Remus, Dieter 3 Schmets, Jean 3 Summers, William H. 3 Tonolo, Alberto 3 Witte, Malte 2 Arahovitis, John 2 Araujo, Jesús 2 Arnautov, Vladimir Ivanovich 2 Bachman, George 2 Chahboun, M. 2 Chasco, María Jesús 2 Chilana, Ajit Kaur 2 Chipchakov, Ivan D. 2 Comfort, William Wistar 2 Ferrando, Juan Carlos 2 Gallaire, Hervé 2 Garg, Pratibha 2 Govaerts, Willy J. F. 2 Khan, Liaqat Ali 2 Koh, Kwangil 2 Kramer, Linus 2 Kutzler, Kurt 2 López Pellicer, Manuel 2 Luedeman, John K. 2 Mesyan, Zachary 2 Palacios, Lourdes 2 Poinsot, Laurent 2 Render, Hermann 2 Requejo, Batildo 2 Salce, Luigi 2 Schikhof, Wilhelmus Hendricus 2 Shell, Niel 2 Śliwa, Wiesław 2 Weber, Hans Josef Karl 2 Weigt, Martin 2 Zarakas, Ioannis 1 Abrudan, Horea F. 1 Ahsanullah, T. M. G. 1 Akkar, Mohamed 1 Anderson, Daniel D. 1 Andrunakievich, Vladimir Aleksandrovich 1 Arizmendi Peimbert, Hugo 1 Arosio, Alberto 1 Azarpanah, Fariborz 1 Azouzi, Youssef 1 Badea, Catalin 1 Baker, Catharine Ann 1 Bayer-Fluckiger, Eva 1 Beddaa, Abdelouahhab 1 Beer, Gerald Alan 1 Beg, Ismat 1 Behboodi Eskandari, G. 1 Behboodi, Mahmood 1 Behrends, Ehrhard 1 Bello, Hugo J. 1 Ben Amor, Fethi 1 Bhaskaran, Rajesh 1 Biller, Harald 1 Bingham, Nicholas Hugh 1 Bonet Solves, José 1 Bonnard, Michel 1 Boulabiar, Karim Mohamed 1 Bovdi, Victor A. 1 Brandal, Willy 1 Bravo, Pedro Miguel 1 Brooks, Robert Morgan 1 Buchwalter, Henri 1 Carrillo Hoyo, Angel M. 1 Cheikh, O. H. 1 Chill, Ralph 1 Cochran, Allan C. 1 Collins, Heron Sherwood 1 Cox, Ben Lewis 1 Cuartero, Bienvenido ...and 137 more Authors all top 5 Cited in 85 Serials 23 Topology and its Applications 18 Mathematische Annalen 14 Transactions of the American Mathematical Society 11 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 10 Journal of Pure and Applied Algebra 9 Archiv der Mathematik 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Manuscripta Mathematica 7 Mathematische Zeitschrift 6 Communications in Algebra 6 Journal of Algebra 6 Rendiconti del Seminario Matematico della Università di Padova 4 Advances in Mathematics 4 Mathematische Nachrichten 4 Results in Mathematics 4 Annales Mathématiques Blaise Pascal 3 Czechoslovak Mathematical Journal 3 Journal of Soviet Mathematics 3 Proceedings of the Japan Academy. Series A 3 Journal of Mathematical Sciences (New York) 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Functional Analysis 2 Mathematical Systems Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Aequationes Mathematicae 2 Linear Algebra and its Applications 2 Mediterranean Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Bollettino dell’Unione Matematica Italiana 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Automatica 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Commentationes Mathematicae Universitatis Carolinae 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computer and System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Synthese 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Acta Mathematica Hungarica 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Topological Methods in Nonlinear Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Abstract and Applied Analysis 1 Soft Computing 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Bulletin of the American Mathematical Society 1 Banach Journal of Mathematical Analysis 1 Proceedings of the Estonian Academy of Sciences 1 Journal of \(K\)-Theory 1 São Paulo Journal of Mathematical Sciences 1 Applied General Topology 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Arabian Journal of Mathematics 1 Advances in Operator Theory all top 5 Cited in 35 Fields 104 Functional analysis (46-XX) 65 General topology (54-XX) 41 Field theory and polynomials (12-XX) 39 Associative rings and algebras (16-XX) 29 Commutative algebra (13-XX) 12 Topological groups, Lie groups (22-XX) 8 Mathematical logic and foundations (03-XX) 7 Number theory (11-XX) 7 Measure and integration (28-XX) 7 Operator theory (47-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 3 Algebraic geometry (14-XX) 3 \(K\)-theory (19-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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